38610900 has 54 divisors (see below), whose sum is σ = 121026542. Its totient is φ = 10296000.

The previous prime is 38610883. The next prime is 38610911. The reversal of 38610900 is 901683.

38610900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5846724 + 32764176 = 2418^2 + 5724^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20551 + ... + 22350.

Almost surely, 2^38610900 is an apocalyptic number.

38610900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38610900 is an abundant number, since it is smaller than the sum of its proper divisors (82415642).

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

38610900 is a wasteful number, since it uses less digits than its factorization.

38610900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42921 (or 42911 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38610900 is about 6213.7669734228. The cubic root of 38610900 is about 337.9895775412.

The spelling of 38610900 in words is "thirty-eight million, six hundred ten thousand, nine hundred".