345962897280 has 2560 divisors, whose sum is σ = 1701892684800. Its totient is φ = 64656506880.

The previous prime is 345962897263. The next prime is 345962897347. The reversal of 345962897280 is 82798269543.

345962897280 is a `hidden beast` number, since 34 + 596 + 2 + 8 + 9 + 7 + 2 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3061618504 + ... + 3061618616.

It is an arithmetic number, because the mean of its divisors is an integer number (664801830).

Almost surely, 2^345962897280 is an apocalyptic number.

345962897280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345962897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850946342400).

345962897280 is an abundant number, since it is smaller than the sum of its proper divisors (1355929787520).

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

345962897280 is a wasteful number, since it uses less digits than its factorization.

345962897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 345962897280 in words is "three hundred forty-five billion, nine hundred sixty-two million, eight hundred ninety-seven thousand, two hundred eighty".