387479199744 has 1568 divisors, whose sum is σ = 1540255739904. Its totient is φ = 94595973120.

The previous prime is 387479199733. The next prime is 387479199761. The reversal of 387479199744 is 447991974783.

387479199744 is a `hidden beast` number, since 3 + 87 + 479 + 1 + 9 + 9 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12499329009 + ... + 12499329039.

Almost surely, 2^387479199744 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 387479199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770127869952).

387479199744 is an abundant number, since it is smaller than the sum of its proper divisors (1152776540160).

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

387479199744 is an equidigital number, since it uses as much as digits as its factorization.

387479199744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 387479199744 in words is "three hundred eighty-seven billion, four hundred seventy-nine million, one hundred ninety-nine thousand, seven hundred forty-four".