38976800 has 72 divisors (see below), whose sum is σ = 96462576. Its totient is φ = 15376640.

The previous prime is 38976787. The next prime is 38976829. The reversal of 38976800 is 867983.

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, 66107 + ... + 66693.

It is an arithmetic number, because the mean of its divisors is an integer number (1339758).

Almost surely, 2^38976800 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 38976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48231288).

38976800 is an abundant number, since it is smaller than the sum of its proper divisors (57485776).

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

38976800 is a wasteful number, since it uses less digits than its factorization.

38976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 38976800 is about 6243.1402354905. The cubic root of 38976800 is about 339.0538864285.

The spelling of 38976800 in words is "thirty-eight million, nine hundred seventy-six thousand, eight hundred".