387201600672 has 48 divisors (see below), whose sum is σ = 1023823245312. Its totient is φ = 128125099520.

The previous prime is 387201600649. The next prime is 387201600691. The reversal of 387201600672 is 276006102783.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14707104 + ... + 14733407.

It is an arithmetic number, because the mean of its divisors is an integer number (21329650944).

Almost surely, 2^387201600672 is an apocalyptic number.

387201600672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

387201600672 is an abundant number, since it is smaller than the sum of its proper divisors (636621644640).

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

387201600672 is a wasteful number, since it uses less digits than its factorization.

387201600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29440661 (or 29440653 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 387201600672 in words is "three hundred eighty-seven billion, two hundred one million, six hundred thousand, six hundred seventy-two".