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3796344216 = 2332748715467
BaseRepresentation
bin1110001001000111…
…1001110110011000
3100210120111021020100
43202101321312120
530233331003331
61424412455400
7163035251640
oct34221716630
910716437210
103796344216
111678a34665
1289b47a560
13486687432
1428029d520
15173447ae6
hexe2479d98

3796344216 has 96 divisors (see below), whose sum is σ = 11775479040. Its totient is φ = 1082372544.

The previous prime is 3796344199. The next prime is 3796344241. The reversal of 3796344216 is 6124436973.

3796344216 is a `hidden beast` number, since 3 + 7 + 9 + 634 + 4 + 2 + 1 + 6 = 666.

3796344216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237715 + ... + 253181.

It is an arithmetic number, because the mean of its divisors is an integer number (122661240).

Almost surely, 23796344216 is an apocalyptic number.

3796344216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3796344216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887739520).

3796344216 is an abundant number, since it is smaller than the sum of its proper divisors (7979134824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3796344216 is a wasteful number, since it uses less digits than its factorization.

3796344216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15973 (or 15966 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3796344216 is about 61614.4805707230. The cubic root of 3796344216 is about 1559.9901675909.

The spelling of 3796344216 in words is "three billion, seven hundred ninety-six million, three hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 487 504 974 1461 1948 2922 3409 3896 4383 5844 6818 8766 10227 11688 13636 15467 17532 20454 27272 30681 30934 35064 40908 46401 61362 61868 81816 92802 108269 122724 123736 139203 185604 216538 245448 278406 324807 371208 433076 556812 649614 866152 974421 1113624 1299228 1948842 2598456 3897684 7532429 7795368 15064858 22597287 30129716 45194574 52727003 60259432 67791861 90389148 105454006 135583722 158181009 180778296 210908012 271167444 316362018 421816024 474543027 542334888 632724036 949086054 1265448072 1898172108 3796344216