346328107888 has 160 divisors (see below), whose sum is σ = 844697047040. Its totient is φ = 134212515840.

The previous prime is 346328107877. The next prime is 346328107927. The reversal of 346328107888 is 888701823643.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4779706 + ... + 4851622.

It is an arithmetic number, because the mean of its divisors is an integer number (5279356544).

Almost surely, 2^346328107888 is an apocalyptic number.

346328107888 is a gapful number since it is divisible by the number (38) 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 346328107888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422348523520).

346328107888 is an abundant number, since it is smaller than the sum of its proper divisors (498368939152).

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

346328107888 is a wasteful number, since it uses less digits than its factorization.

346328107888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72055 (or 72049 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 346328107888 in words is "three hundred forty-six billion, three hundred twenty-eight million, one hundred seven thousand, eight hundred eighty-eight".