345239723136 has 1024 divisors, whose sum is σ = 1310075596800. Its totient is φ = 77715210240.

The previous prime is 345239723111. The next prime is 345239723197. The reversal of 345239723136 is 631327932543.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 353366680 + ... + 353367656.

It is an arithmetic number, because the mean of its divisors is an integer number (1279370700).

Almost surely, 2^345239723136 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 345239723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655037798400).

345239723136 is an abundant number, since it is smaller than the sum of its proper divisors (964835873664).

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

345239723136 is a wasteful number, since it uses less digits than its factorization.

345239723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 48.

The spelling of 345239723136 in words is "three hundred forty-five billion, two hundred thirty-nine million, seven hundred twenty-three thousand, one hundred thirty-six".