345904965120 has 1280 divisors, whose sum is σ = 1388881105920. Its totient is φ = 72796078080.

The previous prime is 345904965083. The next prime is 345904965149. The reversal of 345904965120 is 21569409543.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×345904965120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 345904965120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2524853692 + ... + 2524853828.

It is an arithmetic number, because the mean of its divisors is an integer number (1085063364).

Almost surely, 2^345904965120 is an apocalyptic number.

345904965120 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 345904965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694440552960).

345904965120 is an abundant number, since it is smaller than the sum of its proper divisors (1042976140800).

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

345904965120 is a wasteful number, since it uses less digits than its factorization.

345904965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 345904965120 in words is "three hundred forty-five billion, nine hundred four million, nine hundred sixty-five thousand, one hundred twenty".