387553680 has 320 divisors, whose sum is σ = 1446336000. Its totient is φ = 95090688.

The previous prime is 387553637. The next prime is 387553693. The reversal of 387553680 is 86355783.

387553680 is a `hidden beast` number, since 38 + 7 + 5 + 536 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1440586 + ... + 1440854.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^387553680 is an apocalyptic number.

387553680 is a gapful number since it is divisible by the number (30) 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 387553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723168000).

387553680 is an abundant number, since it is smaller than the sum of its proper divisors (1058782320).

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

387553680 is a wasteful number, since it uses less digits than its factorization.

387553680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 387553680 is about 19686.3831111761. The cubic root of 387553680 is about 729.0835312165.

The spelling of 387553680 in words is "three hundred eighty-seven million, five hundred fifty-three thousand, six hundred eighty".