387907045632 has 180 divisors, whose sum is σ = 1164338077056. Its totient is φ = 128445004800.

The previous prime is 387907045621. The next prime is 387907045649. The reversal of 387907045632 is 236540709783.

387907045632 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 0 + 70 + 4 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3069193 + ... + 3193079.

Almost surely, 2^387907045632 is an apocalyptic number.

387907045632 is a gapful number since it is divisible by the number (32) 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 387907045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582169038528).

387907045632 is an abundant number, since it is smaller than the sum of its proper divisors (776431031424).

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

387907045632 is a wasteful number, since it uses less digits than its factorization.

387907045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124066 (or 124043 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 387907045632 in words is "three hundred eighty-seven billion, nine hundred seven million, forty-five thousand, six hundred thirty-two".