345294877968 has 240 divisors, whose sum is σ = 1022004337536. Its totient is φ = 112839091200.

The previous prime is 345294877943. The next prime is 345294877973. The reversal of 345294877968 is 869778492543.

345294877968 is a `hidden beast` number, since 3 + 4 + 52 + 9 + 487 + 7 + 96 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 345294877896 and 345294877905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40442596 + ... + 40451132.

Almost surely, 2^345294877968 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 345294877968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511002168768).

345294877968 is an abundant number, since it is smaller than the sum of its proper divisors (676709459568).

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

345294877968 is a wasteful number, since it uses less digits than its factorization.

345294877968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8746 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 345294877968 in words is "three hundred forty-five billion, two hundred ninety-four million, eight hundred seventy-seven thousand, nine hundred sixty-eight".