38920512 has 112 divisors (see below), whose sum is σ = 111191040. Its totient is φ = 11976192.

The previous prime is 38920489. The next prime is 38920513. The reversal of 38920512 is 21502983.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38920512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38920513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171343 + ... + 171569.

Almost surely, 2^38920512 is an apocalyptic number.

38920512 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 38920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

38920512 is an abundant number, since it is smaller than the sum of its proper divisors (72270528).

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

38920512 is a wasteful number, since it uses less digits than its factorization.

38920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38920512 is about 6238.6306189740. The cubic root of 38920512 is about 338.8905939098.

The spelling of 38920512 in words is "thirty-eight million, nine hundred twenty thousand, five hundred twelve".