345174367720 has 192 divisors, whose sum is σ = 962664912000. Its totient is φ = 109066374144.

The previous prime is 345174367709. The next prime is 345174367721. The reversal of 345174367720 is 27763471543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345174367721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31178346 + ... + 31189414.

It is an arithmetic number, because the mean of its divisors is an integer number (5013879750).

Almost surely, 2^345174367720 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 345174367720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481332456000).

345174367720 is an abundant number, since it is smaller than the sum of its proper divisors (617490544280).

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

345174367720 is a wasteful number, since it uses less digits than its factorization.

345174367720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11772 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 345174367720 in words is "three hundred forty-five billion, one hundred seventy-four million, three hundred sixty-seven thousand, seven hundred twenty".