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3798934560 = 253358091087
BaseRepresentation
bin1110001001101111…
…0010010000100000
3100210202100212112000
43202123302100200
530240011401220
61424544204000
7163066260651
oct34233622040
910722325460
103798934560
11167a443843
128a0309600
13487083495
14280775528
151737aa390
hexe26f2420

3798934560 has 192 divisors, whose sum is σ = 13324953600. Its totient is φ = 1010866176.

The previous prime is 3798934543. The next prime is 3798934567. The reversal of 3798934560 is 654398973.

3798934560 is a `hidden beast` number, since 3 + 79 + 8 + 9 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3798934497 and 3798934506.

It is not an unprimeable number, because it can be changed into a prime (3798934567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3494337 + ... + 3495423.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 23798934560 is an apocalyptic number.

3798934560 is a gapful number since it is divisible by the number (30) 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 3798934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662476800).

3798934560 is an abundant number, since it is smaller than the sum of its proper divisors (9526019040).

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

3798934560 is a wasteful number, since it uses less digits than its factorization.

3798934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3798934560 is about 61635.4975643095. The cubic root of 3798934560 is about 1560.3448941573.

The spelling of 3798934560 in words is "three billion, seven hundred ninety-eight million, nine hundred thirty-four thousand, five hundred sixty".