345934282752 has 360 divisors, whose sum is σ = 1076513911200. Its totient is φ = 106643324928.

The previous prime is 345934282699. The next prime is 345934282787. The reversal of 345934282752 is 257282439543.

345934282752 is a `hidden beast` number, since 3 + 4 + 593 + 4 + 28 + 27 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147897199 + ... + 147899537.

It is an arithmetic number, because the mean of its divisors is an integer number (2990316420).

Almost surely, 2^345934282752 is an apocalyptic number.

345934282752 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 345934282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538256955600).

345934282752 is an abundant number, since it is smaller than the sum of its proper divisors (730579628448).

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

345934282752 is a wasteful number, since it uses less digits than its factorization.

345934282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2420 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 345934282752 in words is "three hundred forty-five billion, nine hundred thirty-four million, two hundred eighty-two thousand, seven hundred fifty-two".