38577900 has 72 divisors (see below), whose sum is σ = 116492544. Its totient is φ = 9838400.

The previous prime is 38577899. The next prime is 38577907. The reversal of 38577900 is 977583.

38577900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38577907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4105 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (1617952).

Almost surely, 2^38577900 is an apocalyptic number.

38577900 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 38577900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58246272).

38577900 is an abundant number, since it is smaller than the sum of its proper divisors (77914644).

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

38577900 is a wasteful number, since it uses less digits than its factorization.

38577900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 38577900 is about 6211.1110117273. Note that the first 3 decimals coincide. The cubic root of 38577900 is about 337.8932590131.

The spelling of 38577900 in words is "thirty-eight million, five hundred seventy-seven thousand, nine hundred".