38889400 has 72 divisors (see below), whose sum is σ = 99446760. Its totient is φ = 14132800.

The previous prime is 38889379. The next prime is 38889427. The reversal of 38889400 is 498883.

38889400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 17 ways as a sum of consecutive naturals, for example, 23397 + ... + 25003.

It is an arithmetic number, because the mean of its divisors is an integer number (1381205).

Almost surely, 2^38889400 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 38889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723380).

38889400 is an abundant number, since it is smaller than the sum of its proper divisors (60557360).

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

38889400 is a wasteful number, since it uses less digits than its factorization.

38889400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 38889400 is about 6236.1366245457. The cubic root of 38889400 is about 338.8002698598.

The spelling of 38889400 in words is "thirty-eight million, eight hundred eighty-nine thousand, four hundred".