387309434982912 has 280 divisors, whose sum is σ = 1249513842821244. Its totient is φ = 119172132347904.

The previous prime is 387309434982889. The next prime is 387309434982961. The reversal of 387309434982912 is 219289434903783.

387309434982912 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 0 + 9 + 43 + 498 + 2 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367522026506496 + 19787408476416 = 19170864^2 + 4448304^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 35058283 + ... + 44762730.

Almost surely, 2^{387309434982912} is an apocalyptic number.

387309434982912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

387309434982912 is an abundant number, since it is smaller than the sum of its proper divisors (862204407838332).

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

387309434982912 is an frugal number, since it uses more digits than its factorization.

387309434982912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79821062 (or 79821031 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 387309434982912 in words is "three hundred eighty-seven trillion, three hundred nine billion, four hundred thirty-four million, nine hundred eighty-two thousand, nine hundred twelve".