345416562660 has 192 divisors, whose sum is σ = 1090000945152. Its totient is φ = 81093010944.

The previous prime is 345416562641. The next prime is 345416562679. The reversal of 345416562660 is 66265614543.

It is an interprime number because it is at equal distance from previous prime (345416562641) and next prime (345416562679).

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, 6197437 + ... + 6252923.

It is an arithmetic number, because the mean of its divisors is an integer number (5677088256).

Almost surely, 2^345416562660 is an apocalyptic number.

345416562660 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 345416562660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545000472576).

345416562660 is an abundant number, since it is smaller than the sum of its proper divisors (744584382492).

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

345416562660 is a wasteful number, since it uses less digits than its factorization.

345416562660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55882 (or 55880 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 345416562660 in words is "three hundred forty-five billion, four hundred sixteen million, five hundred sixty-two thousand, six hundred sixty".