387537696 has 480 divisors, whose sum is σ = 1475324928. Its totient is φ = 97044480.

The previous prime is 387537679. The next prime is 387537721. The reversal of 387537696 is 696735783.

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

Its product of digits (5715360) is a multiple of the sum of its prime factors (126).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 7312006 + ... + 7312058.

Almost surely, 2^387537696 is an apocalyptic number.

387537696 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 387537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737662464).

387537696 is an abundant number, since it is smaller than the sum of its proper divisors (1087787232).

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

387537696 is a wasteful number, since it uses less digits than its factorization.

387537696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 387537696 is about 19685.9771411022. The cubic root of 387537696 is about 729.0735078039.

The spelling of 387537696 in words is "three hundred eighty-seven million, five hundred thirty-seven thousand, six hundred ninety-six".