38196400 has 60 divisors (see below), whose sum is σ = 100120824. Its totient is φ = 13888000.

The previous prime is 38196391. The next prime is 38196413. The reversal of 38196400 is 469183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 8740.

Almost surely, 2^38196400 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 38196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50060412).

38196400 is an abundant number, since it is smaller than the sum of its proper divisors (61924424).

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

38196400 is a wasteful number, since it uses less digits than its factorization.

38196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 38196400 is about 6180.3236161224. The cubic root of 38196400 is about 336.7757491618.

The spelling of 38196400 in words is "thirty-eight million, one hundred ninety-six thousand, four hundred".