345546279936 has 1056 divisors, whose sum is σ = 1238520810240. Its totient is φ = 95491768320.

The previous prime is 345546279901. The next prime is 345546279941. The reversal of 345546279936 is 639972645543.

345546279936 is a `hidden beast` number, since 3 + 4 + 55 + 462 + 7 + 99 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

Its product of digits (146966400) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4163208151 + ... + 4163208233.

Almost surely, 2^345546279936 is an apocalyptic number.

345546279936 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 345546279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619260405120).

345546279936 is an abundant number, since it is smaller than the sum of its proper divisors (892974530304).

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

345546279936 is an equidigital number, since it uses as much as digits as its factorization.

345546279936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 345546279936 in words is "three hundred forty-five billion, five hundred forty-six million, two hundred seventy-nine thousand, nine hundred thirty-six".