387668736 has 324 divisors, whose sum is σ = 1408422288. Its totient is φ = 99864576.

The previous prime is 387668719. The next prime is 387668741. The reversal of 387668736 is 637866783.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6096384) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9015531 + ... + 9015573.

Almost surely, 2^387668736 is an apocalyptic number.

387668736 is a gapful number since it is divisible by the number (36) 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 387668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704211144).

387668736 is an abundant number, since it is smaller than the sum of its proper divisors (1020753552).

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

387668736 is a wasteful number, since it uses less digits than its factorization.

387668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 68 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 387668736 is about 19689.3051172458. The cubic root of 387668736 is about 729.1556735968.

The spelling of 387668736 in words is "three hundred eighty-seven million, six hundred sixty-eight thousand, seven hundred thirty-six".