387408831264 has 384 divisors, whose sum is σ = 1438661952000. Its totient is φ = 98649944064.

The previous prime is 387408831239. The next prime is 387408831283. The reversal of 387408831264 is 462138804783.

387408831264 is a `hidden beast` number, since 38 + 7 + 408 + 83 + 126 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 387408831264.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2195142 + ... + 2365050.

It is an arithmetic number, because the mean of its divisors is an integer number (3746515500).

Almost surely, 2^387408831264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387408831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719330976000).

387408831264 is an abundant number, since it is smaller than the sum of its proper divisors (1051253120736).

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

387408831264 is a wasteful number, since it uses less digits than its factorization.

387408831264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169977 (or 169963 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 387408831264 in words is "three hundred eighty-seven billion, four hundred eight million, eight hundred thirty-one thousand, two hundred sixty-four".