387032872800 has 576 divisors, whose sum is σ = 1541301350400. Its totient is φ = 82384128000.

The previous prime is 387032872789. The next prime is 387032872817. The reversal of 387032872800 is 8278230783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 387032872800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18822525 + ... + 18843075.

It is an arithmetic number, because the mean of its divisors is an integer number (2675870400).

Almost surely, 2^387032872800 is an apocalyptic number.

387032872800 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 387032872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770650675200).

387032872800 is an abundant number, since it is smaller than the sum of its proper divisors (1154268477600).

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

387032872800 is a wasteful number, since it uses less digits than its factorization.

387032872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20659 (or 20646 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 387032872800 in words is "three hundred eighty-seven billion, thirty-two million, eight hundred seventy-two thousand, eight hundred".