345834752 has 72 divisors (see below), whose sum is σ = 715236480. Its totient is φ = 166799360.

The previous prime is 345834721. The next prime is 345834761. The reversal of 345834752 is 257438543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 963149 + ... + 963507.

It is an arithmetic number, because the mean of its divisors is an integer number (9933840).

Almost surely, 2^345834752 is an apocalyptic number.

345834752 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 345834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357618240).

345834752 is an abundant number, since it is smaller than the sum of its proper divisors (369401728).

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

345834752 is an equidigital number, since it uses as much as digits as its factorization.

345834752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its digits is 403200, while the sum is 41.

The square root of 345834752 is about 18596.6328134961. The cubic root of 345834752 is about 701.9231144979.

The spelling of 345834752 in words is "three hundred forty-five million, eight hundred thirty-four thousand, seven hundred fifty-two".