346879376007360 has 896 divisors, whose sum is σ = 1356764774400000. Its totient is φ = 73339153367040.

The previous prime is 346879376007349. The next prime is 346879376007397. The reversal of 346879376007360 is 63700673978643.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6703086766 + ... + 6703138514.

It is an arithmetic number, because the mean of its divisors is an integer number (1514246400000).

Almost surely, 2^{346879376007360} is an apocalyptic number.

346879376007360 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 346879376007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678382387200000).

346879376007360 is an abundant number, since it is smaller than the sum of its proper divisors (1009885398392640).

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

346879376007360 is a wasteful number, since it uses less digits than its factorization.

346879376007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53229 (or 53219 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 69.

The spelling of 346879376007360 in words is "three hundred forty-six trillion, eight hundred seventy-nine billion, three hundred seventy-six million, seven thousand, three hundred sixty".