387961632000 has 432 divisors, whose sum is σ = 1407123873792. Its totient is φ = 102632140800.

The previous prime is 387961631999. The next prime is 387961632043. The reversal of 387961632000 is 236169783.

387961632000 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 6 + 1 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36570697 + ... + 36581303.

Almost surely, 2^387961632000 is an apocalyptic number.

387961632000 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 387961632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703561936896).

387961632000 is an abundant number, since it is smaller than the sum of its proper divisors (1019162241792).

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

387961632000 is a wasteful number, since it uses less digits than its factorization.

387961632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10771 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 387961632000 in words is "three hundred eighty-seven billion, nine hundred sixty-one million, six hundred thirty-two thousand".