346080529992960 has 2592 divisors, whose sum is σ = 1503043463873952. Its totient is φ = 73033612001280.

The previous prime is 346080529992947. The next prime is 346080529992961. The reversal of 346080529992960 is 69299925080643.

346080529992960 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 8 + 0 + 529 + 9 + 9 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 42603504362496 + 303477025630464 = 6527136^2 + 17420592^2 .

It is a super-2 number, since 2×346080529992960² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346080529992961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 347121895182 + ... + 347121896178.

It is an arithmetic number, because the mean of its divisors is an integer number (579877879581).

Almost surely, 2^{346080529992960} is an apocalyptic number.

346080529992960 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 346080529992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751521731936976).

346080529992960 is an abundant number, since it is smaller than the sum of its proper divisors (1156962933880992).

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

346080529992960 is a wasteful number, since it uses less digits than its factorization.

346080529992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 346080529992960 in words is "three hundred forty-six trillion, eighty billion, five hundred twenty-nine million, nine hundred ninety-two thousand, nine hundred sixty".