38812800 has 192 divisors, whose sum is σ = 138116160. Its totient is φ = 9523200.

The previous prime is 38812793. The next prime is 38812847. The reversal of 38812800 is 821883.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124645 + ... + 124955.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^38812800 is an apocalyptic number.

38812800 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 38812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

38812800 is an abundant number, since it is smaller than the sum of its proper divisors (99303360).

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

38812800 is a wasteful number, since it uses less digits than its factorization.

38812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 38812800 is about 6229.9919743126. The cubic root of 38812800 is about 338.5776799979.

The spelling of 38812800 in words is "thirty-eight million, eight hundred twelve thousand, eight hundred".