387992863296 has 224 divisors, whose sum is σ = 1183036252160. Its totient is φ = 124562188800.

The previous prime is 387992863283. The next prime is 387992863301. The reversal of 387992863296 is 692368299783.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11285685 + ... + 11320011.

It is an arithmetic number, because the mean of its divisors is an integer number (5281411840).

Almost surely, 2^387992863296 is an apocalyptic number.

387992863296 is a gapful number since it is divisible by the number (36) 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 387992863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591518126080).

387992863296 is an abundant number, since it is smaller than the sum of its proper divisors (795043388864).

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

387992863296 is a wasteful number, since it uses less digits than its factorization.

387992863296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590 (or 34574 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 387992863296 in words is "three hundred eighty-seven billion, nine hundred ninety-two million, eight hundred sixty-three thousand, two hundred ninety-six".