38820800 has 84 divisors (see below), whose sum is σ = 100629720. Its totient is φ = 14699520.

The previous prime is 38820797. The next prime is 38820841. The reversal of 38820800 is 802883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29762 + ... + 31038.

Almost surely, 2^38820800 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 38820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50314860).

38820800 is an abundant number, since it is smaller than the sum of its proper divisors (61808920).

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

38820800 is a wasteful number, since it uses less digits than its factorization.

38820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 38820800 is about 6230.6339966331. The cubic root of 38820800 is about 338.6009406693.

The spelling of 38820800 in words is "thirty-eight million, eight hundred twenty thousand, eight hundred".