346011108986880 has 1248 divisors, whose sum is σ = 1256818269732480. Its totient is φ = 87962151813120.

The previous prime is 346011108986861. The next prime is 346011108986897. The reversal of 346011108986880 is 88689801110643.

346011108986880 is a `hidden beast` number, since 3 + 4 + 601 + 1 + 10 + 8 + 9 + 8 + 6 + 8 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117730896451 + ... + 117730899389.

It is an arithmetic number, because the mean of its divisors is an integer number (1007065921260).

Almost surely, 2^{346011108986880} is an apocalyptic number.

346011108986880 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 346011108986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628409134866240).

346011108986880 is an abundant number, since it is smaller than the sum of its proper divisors (910807160745600).

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

346011108986880 is a wasteful number, since it uses less digits than its factorization.

346011108986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 346011108986880 in words is "three hundred forty-six trillion, eleven billion, one hundred eight million, nine hundred eighty-six thousand, eight hundred eighty".