38932032 has 84 divisors (see below), whose sum is σ = 106942128. Its totient is φ = 12499200.

The previous prime is 38931967. The next prime is 38932037. The reversal of 38932032 is 23023983.

It is not an unprimeable number, because it can be changed into a prime (38932037) 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, 184407 + ... + 184617.

Almost surely, 2^38932032 is an apocalyptic number.

38932032 is a gapful number since it is divisible by the number (32) 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 38932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53471064).

38932032 is an abundant number, since it is smaller than the sum of its proper divisors (68010096).

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

38932032 is a wasteful number, since it uses less digits than its factorization.

38932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 38932032 is about 6239.5538302029. The cubic root of 38932032 is about 338.9240264481.

The spelling of 38932032 in words is "thirty-eight million, nine hundred thirty-two thousand, thirty-two".