345264392736 has 144 divisors (see below), whose sum is σ = 1066861635840. Its totient is φ = 105513684480.

The previous prime is 345264392689. The next prime is 345264392761. The reversal of 345264392736 is 637293462543.

345264392736 is a `hidden beast` number, since 3 + 4 + 526 + 43 + 9 + 2 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848055 + ... + 1187318.

It is an arithmetic number, because the mean of its divisors is an integer number (7408761360).

Almost surely, 2^345264392736 is an apocalyptic number.

345264392736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345264392736 is an abundant number, since it is smaller than the sum of its proper divisors (721597243104).

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

345264392736 is a wasteful number, since it uses less digits than its factorization.

345264392736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035439 (or 2035428 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 345264392736 in words is "three hundred forty-five billion, two hundred sixty-four million, three hundred ninety-two thousand, seven hundred thirty-six".