387657732 has 384 divisors, whose sum is σ = 1323786240. Its totient is φ = 85155840.

The previous prime is 387657731. The next prime is 387657733. The reversal of 387657732 is 237756783.

It is an interprime number because it is at equal distance from previous prime (387657731) and next prime (387657733).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (387657731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10477218 + ... + 10477254.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^387657732 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 387657732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

387657732 is an abundant number, since it is smaller than the sum of its proper divisors (936128508).

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

387657732 is a wasteful number, since it uses less digits than its factorization.

387657732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The square root of 387657732 is about 19689.0256742176. The cubic root of 387657732 is about 729.1487744892.

The spelling of 387657732 in words is "three hundred eighty-seven million, six hundred fifty-seven thousand, seven hundred thirty-two".