345168756 has 96 divisors (see below), whose sum is σ = 931983360. Its totient is φ = 110354400.

The previous prime is 345168737. The next prime is 345168757. The reversal of 345168756 is 657861543.

345168756 is a `hidden beast` number, since 3 + 4 + 516 + 87 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345168757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438195 + ... + 438981.

It is an arithmetic number, because the mean of its divisors is an integer number (9708160).

Almost surely, 2^345168756 is an apocalyptic number.

345168756 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 345168756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465991680).

345168756 is an abundant number, since it is smaller than the sum of its proper divisors (586814604).

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

345168756 is a wasteful number, since it uses less digits than its factorization.

345168756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 345168756 is about 18578.7178244356. The cubic root of 345168756 is about 701.4722456081.

The spelling of 345168756 in words is "three hundred forty-five million, one hundred sixty-eight thousand, seven hundred fifty-six".