345442064920400 has 480 divisors, whose sum is σ = 1021137288864000. Its totient is φ = 111944241561600.

The previous prime is 345442064920391. The next prime is 345442064920481. The reversal of 345442064920400 is 4029460244543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1128591380 + ... + 1128897420.

It is an arithmetic number, because the mean of its divisors is an integer number (2127369351800).

Almost surely, 2^{345442064920400} 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 345442064920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510568644432000).

345442064920400 is an abundant number, since it is smaller than the sum of its proper divisors (675695223943600).

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

345442064920400 is a wasteful number, since it uses less digits than its factorization.

345442064920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306532 (or 306507 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 345442064920400 in words is "three hundred forty-five trillion, four hundred forty-two billion, sixty-four million, nine hundred twenty thousand, four hundred".