3836938032 has 240 divisors, whose sum is σ = 11664432000. Its totient is φ = 1207164672.

The previous prime is 3836938009. The next prime is 3836938043. The reversal of 3836938032 is 2308396383.

It is a super-2 number, since 2×3836938032² = 29444186922816066048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21435319 + ... + 21435497.

It is an arithmetic number, because the mean of its divisors is an integer number (48601800).

Almost surely, 2^3836938032 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 3836938032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832216000).

3836938032 is an abundant number, since it is smaller than the sum of its proper divisors (7827493968).

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

3836938032 is a wasteful number, since it uses less digits than its factorization.

3836938032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3836938032 is about 61943.0224641969. The cubic root of 3836938032 is about 1565.5307235856.

The spelling of 3836938032 in words is "three billion, eight hundred thirty-six million, nine hundred thirty-eight thousand, thirty-two".