345709056000 has 1664 divisors, whose sum is σ = 1491647938560. Its totient is φ = 69009408000.

The previous prime is 345709055971. The next prime is 345709056067. The reversal of 345709056000 is 650907543.

It is a super-2 number, since 2×345709056000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345709056000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4376063961 + ... + 4376064039.

It is an arithmetic number, because the mean of its divisors is an integer number (896423040).

Almost surely, 2^345709056000 is an apocalyptic number.

345709056000 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 345709056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745823969280).

345709056000 is an abundant number, since it is smaller than the sum of its proper divisors (1145938882560).

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

345709056000 is a wasteful number, since it uses less digits than its factorization.

345709056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 345709056000 in words is "three hundred forty-five billion, seven hundred nine million, fifty-six thousand".