345685068960 has 384 divisors, whose sum is σ = 1358499631104. Its totient is φ = 71783055360.

The previous prime is 345685068931. The next prime is 345685069031. The reversal of 345685068960 is 69860586543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 345685068894 and 345685068903.

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, 95835477 + ... + 95839083.

It is an arithmetic number, because the mean of its divisors is an integer number (3537759456).

Almost surely, 2^345685068960 is an apocalyptic number.

345685068960 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 345685068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679249815552).

345685068960 is an abundant number, since it is smaller than the sum of its proper divisors (1012814562144).

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

345685068960 is a wasteful number, since it uses less digits than its factorization.

345685068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 345685068960 in words is "three hundred forty-five billion, six hundred eighty-five million, sixty-eight thousand, nine hundred sixty".