345504764288 has 64 divisors (see below), whose sum is σ = 729317805120. Its totient is φ = 162474762240.

The previous prime is 345504764257. The next prime is 345504764333. The reversal of 345504764288 is 882467405543.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 3040658 + ... + 3152238.

It is an arithmetic number, because the mean of its divisors is an integer number (11395590705).

Almost surely, 2^345504764288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345504764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364658902560).

345504764288 is an abundant number, since it is smaller than the sum of its proper divisors (383813040832).

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

345504764288 is a wasteful number, since it uses less digits than its factorization.

345504764288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113035 (or 113023 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 56.

The spelling of 345504764288 in words is "three hundred forty-five billion, five hundred four million, seven hundred sixty-four thousand, two hundred eighty-eight".