345802752 has 144 divisors (see below), whose sum is σ = 1016362620. Its totient is φ = 113246208.

The previous prime is 345802747. The next prime is 345802753. The reversal of 345802752 is 257208543.

345802752 is a `hidden beast` number, since 3 + 4 + 580 + 2 + 75 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301925376 + 43877376 = 17376^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (345802753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345408 + ... + 1345664.

Almost surely, 2^345802752 is an apocalyptic number.

345802752 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 345802752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508181310).

345802752 is an abundant number, since it is smaller than the sum of its proper divisors (670559868).

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

345802752 is a wasteful number, since it uses less digits than its factorization.

345802752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 345802752 is about 18595.7724227847. The cubic root of 345802752 is about 701.9014642422.

The spelling of 345802752 in words is "three hundred forty-five million, eight hundred two thousand, seven hundred fifty-two".