38642600 has 48 divisors (see below), whose sum is σ = 90781020. Its totient is φ = 15296000.

The previous prime is 38642563. The next prime is 38642621. The reversal of 38642600 is 624683.

It can be written as a sum of positive squares in 6 ways, for example, as 32058244 + 6584356 = 5662^2 + 2566^2 .

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, 19244 + ... + 21156.

Almost surely, 2^38642600 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 38642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45390510).

38642600 is an abundant number, since it is smaller than the sum of its proper divisors (52138420).

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

38642600 is a wasteful number, since it uses less digits than its factorization.

38642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 38642600 is about 6216.3172377220. The cubic root of 38642600 is about 338.0820500361.

The spelling of 38642600 in words is "thirty-eight million, six hundred forty-two thousand, six hundred".