346474976808960 has 416 divisors, whose sum is σ = 1231905965748480. Its totient is φ = 92382427348992.

The previous prime is 346474976808949. The next prime is 346474976808967. The reversal of 346474976808960 is 69808679474643.

346474976808960 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 7 + 497 + 68 + 0 + 8 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 346474976808960.

It is not an unprimeable number, because it can be changed into a prime (346474976808967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5400728244 + ... + 5400792396.

Almost surely, 2^{346474976808960} is an apocalyptic number.

346474976808960 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 346474976808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615952982874240).

346474976808960 is an abundant number, since it is smaller than the sum of its proper divisors (885430988939520).

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

346474976808960 is an equidigital number, since it uses as much as digits as its factorization.

346474976808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73958 (or 73930 counting only the distinct ones).

The product of its (nonzero) digits is 10534551552, while the sum is 81.

The spelling of 346474976808960 in words is "three hundred forty-six trillion, four hundred seventy-four billion, nine hundred seventy-six million, eight hundred eight thousand, nine hundred sixty".