38196800 has 42 divisors (see below), whose sum is σ = 93991938. Its totient is φ = 15278080.

The previous prime is 38196787. The next prime is 38196803. The reversal of 38196800 is 869183.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 38142976 = 232^2 + 6176^2 .

It is not an unprimeable number, because it can be changed into a prime (38196803) 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, 10337 + ... + 13536.

Almost surely, 2^38196800 is an apocalyptic number.

It is an amenable number.

38196800 is an abundant number, since it is smaller than the sum of its proper divisors (55795138).

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

38196800 is a wasteful number, since it uses less digits than its factorization.

38196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23895 (or 23880 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 38196800 is about 6180.3559768026. The cubic root of 38196800 is about 336.7769247510.

The spelling of 38196800 in words is "thirty-eight million, one hundred ninety-six thousand, eight hundred".