3734838432 has 72 divisors (see below), whose sum is σ = 11437954164. Its totient is φ = 1149179904.

The previous prime is 3734838413. The next prime is 3734838439. The reversal of 3734838432 is 2348384373.

3734838432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3383050896 + 351787536 = 58164^2 + 18756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3734838432² = 27898036226288437248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3734838439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495033 + ... + 502520.

Almost surely, 2^3734838432 is an apocalyptic number.

3734838432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3734838432 is an abundant number, since it is smaller than the sum of its proper divisors (7703115732).

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

3734838432 is a wasteful number, since it uses less digits than its factorization.

3734838432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997582 (or 997571 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3734838432 is about 61113.3245045628. The cubic root of 3734838432 is about 1551.5196240644.

The spelling of 3734838432 in words is "three billion, seven hundred thirty-four million, eight hundred thirty-eight thousand, four hundred thirty-two".