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3780034496 = 267193591237
BaseRepresentation
bin1110000101001110…
…1011111111000000
3100202102210122111122
43201103223333000
530220142100441
61423031131412
7162446522510
oct34123537700
910672718448
103780034496
11166a804957
12895b13b68
13483196904
1427c055840
15171cc534b
hexe14ebfc0

3780034496 has 112 divisors (see below), whose sum is σ = 9056217600. Its totient is φ = 1529238528.

The previous prime is 3780034487. The next prime is 3780034543. The reversal of 3780034496 is 6944300873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3055190 + ... + 3056426.

Almost surely, 23780034496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528108800).

3780034496 is an abundant number, since it is smaller than the sum of its proper divisors (5276183104).

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

3780034496 is a wasteful number, since it uses less digits than its factorization.

3780034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 3780034496 is about 61481.9851338585. The cubic root of 3780034496 is about 1557.7529691726.

The spelling of 3780034496 in words is "three billion, seven hundred eighty million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 359 448 532 608 718 1064 1216 1237 1436 2128 2474 2513 2872 4256 4948 5026 5744 6821 8512 8659 9896 10052 11488 13642 17318 19792 20104 22976 23503 27284 34636 39584 40208 47006 47747 54568 69272 79168 80416 94012 95494 109136 138544 160832 164521 188024 190988 218272 277088 329042 376048 381976 436544 444083 554176 658084 752096 763952 888166 1316168 1504192 1527904 1776332 2632336 3055808 3108581 3552664 5264672 6217162 7105328 8437577 10529344 12434324 14210656 16875154 24868648 28421312 33750308 49737296 59063039 67500616 99474592 118126078 135001232 198949184 236252156 270002464 472504312 540004928 945008624 1890017248 3780034496