345377223075640 has 256 divisors, whose sum is σ = 896627854080000. Its totient is φ = 117285740881920.

The previous prime is 345377223075637. The next prime is 345377223075649. The reversal of 345377223075640 is 46570322773543.

It is a super-2 number, since 2×345377223075640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345377223075649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16459848589 + ... + 16459869571.

It is an arithmetic number, because the mean of its divisors is an integer number (3502452555000).

Almost surely, 2^{345377223075640} 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 345377223075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448313927040000).

345377223075640 is an abundant number, since it is smaller than the sum of its proper divisors (551250631004360).

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

345377223075640 is a wasteful number, since it uses less digits than its factorization.

345377223075640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22470 (or 22466 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 58.

The spelling of 345377223075640 in words is "three hundred forty-five trillion, three hundred seventy-seven billion, two hundred twenty-three million, seventy-five thousand, six hundred forty".