345832829160 has 384 divisors, whose sum is σ = 1324261975680. Its totient is φ = 71589353472.

The previous prime is 345832829063. The next prime is 345832829179. The reversal of 345832829160 is 61928238543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4008639 + ... + 4094001.

It is an arithmetic number, because the mean of its divisors is an integer number (3448598895).

Almost surely, 2^345832829160 is an apocalyptic number.

345832829160 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 345832829160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662130987840).

345832829160 is an abundant number, since it is smaller than the sum of its proper divisors (978429146520).

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

345832829160 is a wasteful number, since it uses less digits than its factorization.

345832829160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85457 (or 85446 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 345832829160 in words is "three hundred forty-five billion, eight hundred thirty-two million, eight hundred twenty-nine thousand, one hundred sixty".