345974534416 has 75 divisors (see below), whose sum is σ = 782260739493. Its totient is φ = 148225392000.

The previous prime is 345974534413. The next prime is 345974534453. The reversal of 345974534416 is 614435479543.

The square root of 345974534416 is 588196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 186102508816 + 159872025600 = 431396^2 + 399840^2 .

It is a super-2 number, since 2×345974534416² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345974534413) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 115284916 + ... + 115287916.

Almost surely, 2^345974534416 is an apocalyptic number.

345974534416 is the 588196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345974534416

345974534416 is an abundant number, since it is smaller than the sum of its proper divisors (436286205077).

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

345974534416 is an frugal number, since it uses more digits than its factorization.

345974534416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 3010 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 55.

The spelling of 345974534416 in words is "three hundred forty-five billion, nine hundred seventy-four million, five hundred thirty-four thousand, four hundred sixteen".