38485600 has 72 divisors (see below), whose sum is σ = 95384520. Its totient is φ = 15160320.

The previous prime is 38485597. The next prime is 38485607. The reversal of 38485600 is 658483.

It is a super-2 number, since 2×38485600² = 2962282814720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38485607) 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, 58071 + ... + 58729.

It is an arithmetic number, because the mean of its divisors is an integer number (1324785).

Almost surely, 2^38485600 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 38485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47692260).

38485600 is an abundant number, since it is smaller than the sum of its proper divisors (56898920).

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

38485600 is a wasteful number, since it uses less digits than its factorization.

38485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 38485600 is about 6203.6763294034. The cubic root of 38485600 is about 337.6235670078.

The spelling of 38485600 in words is "thirty-eight million, four hundred eighty-five thousand, six hundred".