387797929344 has 1024 divisors, whose sum is σ = 1408481280000. Its totient is φ = 104857804800.

The previous prime is 387797929333. The next prime is 387797929361. The reversal of 387797929344 is 443929797783.

387797929344 is a `hidden beast` number, since 387 + 79 + 7 + 92 + 93 + 4 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2241606442 + ... + 2241606614.

It is an arithmetic number, because the mean of its divisors is an integer number (1375470000).

Almost surely, 2^387797929344 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 387797929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704240640000).

387797929344 is an abundant number, since it is smaller than the sum of its proper divisors (1020683350656).

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

387797929344 is a wasteful number, since it uses less digits than its factorization.

387797929344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 277 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 387797929344 in words is "three hundred eighty-seven billion, seven hundred ninety-seven million, nine hundred twenty-nine thousand, three hundred forty-four".