38457792 has 84 divisors (see below), whose sum is σ = 111145320. Its totient is φ = 12713472.

The previous prime is 38457779. The next prime is 38457803. The reversal of 38457792 is 29775483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102918 + ... + 103290.

Almost surely, 2^38457792 is an apocalyptic number.

38457792 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 38457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55572660).

38457792 is an abundant number, since it is smaller than the sum of its proper divisors (72687528).

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

38457792 is a wasteful number, since it uses less digits than its factorization.

38457792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 38457792 is about 6201.4346727189. The cubic root of 38457792 is about 337.5422301066.

The spelling of 38457792 in words is "thirty-eight million, four hundred fifty-seven thousand, seven hundred ninety-two".