345334752 has 180 divisors, whose sum is σ = 1181869920. Its totient is φ = 98630784.

The previous prime is 345334751. The next prime is 345334771. The reversal of 345334752 is 257433543.

345334752 is a `hidden beast` number, since 34 + 533 + 47 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345334751) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 125649 + ... + 128367.

It is an arithmetic number, because the mean of its divisors is an integer number (6565944).

Almost surely, 2^345334752 is an apocalyptic number.

345334752 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 345334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590934960).

345334752 is an abundant number, since it is smaller than the sum of its proper divisors (836535168).

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

345334752 is a wasteful number, since it uses less digits than its factorization.

345334752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2731 counting only the distinct ones).

The product of its digits is 151200, while the sum is 36.

The square root of 345334752 is about 18583.1846571033. The cubic root of 345334752 is about 701.5846765314.

The spelling of 345334752 in words is "three hundred forty-five million, three hundred thirty-four thousand, seven hundred fifty-two".