38992800 has 288 divisors, whose sum is σ = 158989824. Its totient is φ = 8064000.

The previous prime is 38992799. The next prime is 38992829. The reversal of 38992800 is 829983.

38992800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184695 + ... + 184905.

It is an arithmetic number, because the mean of its divisors is an integer number (552048).

Almost surely, 2^38992800 is an apocalyptic number.

38992800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79494912).

38992800 is an abundant number, since it is smaller than the sum of its proper divisors (119997024).

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

38992800 is a wasteful number, since it uses less digits than its factorization.

38992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 38992800 is about 6244.4215104363. The cubic root of 38992800 is about 339.1002740235.

The spelling of 38992800 in words is "thirty-eight million, nine hundred ninety-two thousand, eight hundred".