346134122880 has 1024 divisors, whose sum is σ = 1403726284800. Its totient is φ = 70601932800.

The previous prime is 346134122833. The next prime is 346134122911. The reversal of 346134122880 is 88221431643.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1511502606 + ... + 1511502834.

It is an arithmetic number, because the mean of its divisors is an integer number (1370826450).

Almost surely, 2^346134122880 is an apocalyptic number.

346134122880 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 346134122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701863142400).

346134122880 is an abundant number, since it is smaller than the sum of its proper divisors (1057592161920).

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

346134122880 is a wasteful number, since it uses less digits than its factorization.

346134122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 346134122880 in words is "three hundred forty-six billion, one hundred thirty-four million, one hundred twenty-two thousand, eight hundred eighty".