345179713536 has 624 divisors, whose sum is σ = 1252035632640. Its totient is φ = 89340641280.

The previous prime is 345179713453. The next prime is 345179713537. The reversal of 345179713536 is 635317971543.

It is a happy number.

345179713536 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 7 + 97 + 13 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345179713537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112765446 + ... + 112768506.

It is an arithmetic number, because the mean of its divisors is an integer number (2006467360).

Almost surely, 2^345179713536 is an apocalyptic number.

345179713536 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 345179713536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626017816320).

345179713536 is an abundant number, since it is smaller than the sum of its proper divisors (906855919104).

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

345179713536 is a wasteful number, since it uses less digits than its factorization.

345179713536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3115 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 345179713536 in words is "three hundred forty-five billion, one hundred seventy-nine million, seven hundred thirteen thousand, five hundred thirty-six".