387659664 has 180 divisors, whose sum is σ = 1297930816. Its totient is φ = 105798528.

The previous prime is 387659659. The next prime is 387659669. The reversal of 387659664 is 466956783.

It is an interprime number because it is at equal distance from previous prime (387659659) and next prime (387659669).

It is a self number, because there is not a number n which added to its sum of digits gives 387659664.

It is not an unprimeable number, because it can be changed into a prime (387659669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532869 + ... + 533595.

Almost surely, 2^387659664 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 387659664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648965408).

387659664 is an abundant number, since it is smaller than the sum of its proper divisors (910271152).

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

387659664 is a wasteful number, since it uses less digits than its factorization.

387659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 762 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 387659664 is about 19689.0747370210. The cubic root of 387659664 is about 729.1499857924.

The spelling of 387659664 in words is "three hundred eighty-seven million, six hundred fifty-nine thousand, six hundred sixty-four".