38956100 has 18 divisors (see below), whose sum is σ = 84534954. Its totient is φ = 15582400.

The previous prime is 38956097. The next prime is 38956103. The reversal of 38956100 is 165983.

It is an interprime number because it is at equal distance from previous prime (38956097) and next prime (38956103).

It can be written as a sum of positive squares in 3 ways, for example, as 9449476 + 29506624 = 3074^2 + 5432^2 .

It is not an unprimeable number, because it can be changed into a prime (38956103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194681 + ... + 194880.

Almost surely, 2^38956100 is an apocalyptic number.

It is an amenable number.

38956100 is an abundant number, since it is smaller than the sum of its proper divisors (45578854).

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

38956100 is a wasteful number, since it uses less digits than its factorization.

38956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389575 (or 389568 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 38956100 is about 6241.4821957609. The cubic root of 38956100 is about 338.9938536374.

The spelling of 38956100 in words is "thirty-eight million, nine hundred fifty-six thousand, one hundred".