387635664 has 80 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 117239808.

The previous prime is 387635657. The next prime is 387635671. The reversal of 387635664 is 466536783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (387635657) and next prime (387635671).

It is a super-2 number, since 2×387635664² = 300522816009441792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31552 + ... + 42080.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^387635664 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 387635664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

387635664 is an abundant number, since it is smaller than the sum of its proper divisors (709169136).

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

387635664 is a wasteful number, since it uses less digits than its factorization.

387635664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10606 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 387635664 is about 19688.4652525279. The cubic root of 387635664 is about 729.1349382628.

The spelling of 387635664 in words is "three hundred eighty-seven million, six hundred thirty-five thousand, six hundred sixty-four".