3889322400 has 72 divisors (see below), whose sum is σ = 12659752224. Its totient is φ = 1037152000.

The previous prime is 3889322399. The next prime is 3889322429. The reversal of 3889322400 is 42239883.

3889322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3889322400² = 30253657462283520000, which contains 22 as substring.

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, 807876 + ... + 812675.

It is an arithmetic number, because the mean of its divisors is an integer number (175829892).

Almost surely, 2^3889322400 is an apocalyptic number.

3889322400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3889322400 is an abundant number, since it is smaller than the sum of its proper divisors (8770429824).

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

3889322400 is a wasteful number, since it uses less digits than its factorization.

3889322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620574 (or 1620561 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3889322400 is about 62364.4321709097. The cubic root of 3889322400 is about 1572.6230914418.

The spelling of 3889322400 in words is "three billion, eight hundred eighty-nine million, three hundred twenty-two thousand, four hundred".