346027557120 has 432 divisors, whose sum is σ = 1300061508480. Its totient is φ = 78199554048.

The previous prime is 346027557107. The next prime is 346027557133. The reversal of 346027557120 is 21755720643.

It is an interprime number because it is at equal distance from previous prime (346027557107) and next prime (346027557133).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16735909 + ... + 16756571.

It is an arithmetic number, because the mean of its divisors is an integer number (3009401640).

Almost surely, 2^346027557120 is an apocalyptic number.

346027557120 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 346027557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650030754240).

346027557120 is an abundant number, since it is smaller than the sum of its proper divisors (954033951360).

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

346027557120 is a wasteful number, since it uses less digits than its factorization.

346027557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20790 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 346027557120 in words is "three hundred forty-six billion, twenty-seven million, five hundred fifty-seven thousand, one hundred twenty".