345352176 has 180 divisors, whose sum is σ = 1093845168. Its totient is φ = 101477376.

The previous prime is 345352141. The next prime is 345352177. The reversal of 345352176 is 671253543.

345352176 is a `hidden beast` number, since 34 + 535 + 21 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345352176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345352177) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559420 + ... + 560036.

Almost surely, 2^345352176 is an apocalyptic number.

345352176 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 345352176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546922584).

345352176 is an abundant number, since it is smaller than the sum of its proper divisors (748492992).

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

345352176 is a wasteful number, since it uses less digits than its factorization.

345352176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 345352176 is about 18583.6534621156. The cubic root of 345352176 is about 701.5964759094.

The spelling of 345352176 in words is "three hundred forty-five million, three hundred fifty-two thousand, one hundred seventy-six".