39381986400 has 144 divisors (see below), whose sum is σ = 128345316624. Its totient is φ = 10489006080.

The previous prime is 39381986383. The next prime is 39381986401. The reversal of 39381986400 is 468918393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39381986401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037582 + ... + 2056818.

It is an arithmetic number, because the mean of its divisors is an integer number (891286921).

Almost surely, 2^39381986400 is an apocalyptic number.

39381986400 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 39381986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64172658312).

39381986400 is an abundant number, since it is smaller than the sum of its proper divisors (88963330224).

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

39381986400 is a wasteful number, since it uses less digits than its factorization.

39381986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20113 (or 20100 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 39381986400 in words is "thirty-nine billion, three hundred eighty-one million, nine hundred eighty-six thousand, four hundred".