345592116 has 96 divisors (see below), whose sum is σ = 972034560. Its totient is φ = 105753600.

The previous prime is 345592069. The next prime is 345592127. The reversal of 345592116 is 611295543.

345592116 is a `hidden beast` number, since 3 + 455 + 92 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72981 + ... + 77571.

It is an arithmetic number, because the mean of its divisors is an integer number (10125360).

Almost surely, 2^345592116 is an apocalyptic number.

345592116 is a gapful number since it is divisible by the number (36) 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 345592116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486017280).

345592116 is an abundant number, since it is smaller than the sum of its proper divisors (626442444).

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

345592116 is a wasteful number, since it uses less digits than its factorization.

345592116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4654 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 345592116 is about 18590.1080147481. The cubic root of 345592116 is about 701.7589207981.

The spelling of 345592116 in words is "three hundred forty-five million, five hundred ninety-two thousand, one hundred sixteen".