345689883360 has 144 divisors (see below), whose sum is σ = 1217720649600. Its totient is φ = 89210280960.

The previous prime is 345689883349. The next prime is 345689883373. The reversal of 345689883360 is 63388986543.

345689883360 is a `hidden beast` number, since 3 + 4 + 568 + 9 + 8 + 8 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3827335 + ... + 3916614.

It is an arithmetic number, because the mean of its divisors is an integer number (8456393400).

Almost surely, 2^345689883360 is an apocalyptic number.

345689883360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345689883360 is an abundant number, since it is smaller than the sum of its proper divisors (872030766240).

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

345689883360 is a wasteful number, since it uses less digits than its factorization.

345689883360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744001 (or 7743990 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 345689883360 in words is "three hundred forty-five billion, six hundred eighty-nine million, eight hundred eighty-three thousand, three hundred sixty".