38001792 has 32 divisors (see below), whose sum is σ = 100943280. Its totient is φ = 12667136.

The previous prime is 38001781. The next prime is 38001811. The reversal of 38001792 is 29710083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×38001792² = 2888272390422528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49098 + ... + 49865.

Almost surely, 2^38001792 is an apocalyptic number.

38001792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38001792 is an abundant number, since it is smaller than the sum of its proper divisors (62941488).

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

38001792 is an equidigital number, since it uses as much as digits as its factorization.

38001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98980 (or 98968 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 38001792 is about 6164.5593516487. The cubic root of 38001792 is about 336.2028253862.

The spelling of 38001792 in words is "thirty-eight million, one thousand, seven hundred ninety-two".