387024672 has 48 divisors (see below), whose sum is σ = 1019626272. Its totient is φ = 128540160.

The previous prime is 387024667. The next prime is 387024689. The reversal of 387024672 is 276420783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 387024672.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19803 + ... + 34149.

It is an arithmetic number, because the mean of its divisors is an integer number (21242214).

Almost surely, 2^387024672 is an apocalyptic number.

387024672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

387024672 is an abundant number, since it is smaller than the sum of its proper divisors (632601600).

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

387024672 is a wasteful number, since it uses less digits than its factorization.

387024672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14633 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 387024672 is about 19672.9426370332. The cubic root of 387024672 is about 728.7516488973.

The spelling of 387024672 in words is "three hundred eighty-seven million, twenty-four thousand, six hundred seventy-two".