345702544000 has 256 divisors, whose sum is σ = 962999331840. Its totient is φ = 122310144000.

The previous prime is 345702543961. The next prime is 345702544007. The reversal of 345702544000 is 445207543.

It is not an unprimeable number, because it can be changed into a prime (345702544007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6485457 + ... + 6538543.

It is an arithmetic number, because the mean of its divisors is an integer number (3761716140).

Almost surely, 2^345702544000 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 345702544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481499665920).

345702544000 is an abundant number, since it is smaller than the sum of its proper divisors (617296787840).

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

345702544000 is a wasteful number, since it uses less digits than its factorization.

345702544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53164 (or 53142 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The spelling of 345702544000 in words is "three hundred forty-five billion, seven hundred two million, five hundred forty-four thousand".