38980400 has 120 divisors (see below), whose sum is σ = 103326720. Its totient is φ = 14065920.

The previous prime is 38980397. The next prime is 38980411. The reversal of 38980400 is 408983.

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 23 ways as a sum of consecutive naturals, for example, 174689 + ... + 174911.

It is an arithmetic number, because the mean of its divisors is an integer number (861056).

Almost surely, 2^38980400 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 38980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

38980400 is an abundant number, since it is smaller than the sum of its proper divisors (64346320).

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

38980400 is a wasteful number, since it uses less digits than its factorization.

38980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 38980400 is about 6243.4285452786. The cubic root of 38980400 is about 339.0643247440.

The spelling of 38980400 in words is "thirty-eight million, nine hundred eighty thousand, four hundred".