345617840640 has 640 divisors, whose sum is σ = 1169847410688. Its totient is φ = 86951854080.

The previous prime is 345617840629. The next prime is 345617840669. The reversal of 345617840640 is 46048716543.

It is a tau number, because it is divible by the number of its divisors (640).

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 345617840640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2201387442 + ... + 2201387598.

Almost surely, 2^345617840640 is an apocalyptic number.

345617840640 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 345617840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584923705344).

345617840640 is an abundant number, since it is smaller than the sum of its proper divisors (824229570048).

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

345617840640 is a wasteful number, since it uses less digits than its factorization.

345617840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 345617840640 in words is "three hundred forty-five billion, six hundred seventeen million, eight hundred forty thousand, six hundred forty".