345492276936192 has 320 divisors, whose sum is σ = 1070539543941120. Its totient is φ = 109879405977600.

The previous prime is 345492276936151. The next prime is 345492276936239. The reversal of 345492276936192 is 291639672294543.

345492276936192 is a `hidden beast` number, since 3 + 4 + 5 + 492 + 2 + 76 + 9 + 3 + 61 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 345492276936192.

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, 24749158 + ... + 36104090.

It is an arithmetic number, because the mean of its divisors is an integer number (3345436074816).

Almost surely, 2^{345492276936192} is an apocalyptic number.

345492276936192 is a gapful number since it is divisible by the number (32) 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 345492276936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535269771970560).

345492276936192 is an abundant number, since it is smaller than the sum of its proper divisors (725047267004928).

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

345492276936192 is a wasteful number, since it uses less digits than its factorization.

345492276936192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355062 (or 11355040 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 345492276936192 in words is "three hundred forty-five trillion, four hundred ninety-two billion, two hundred seventy-six million, nine hundred thirty-six thousand, one hundred ninety-two".