345802608 has 140 divisors (see below), whose sum is σ = 1049017680. Its totient is φ = 110170368.

The previous prime is 345802591. The next prime is 345802637. The reversal of 345802608 is 806208543.

345802608 is a `hidden beast` number, since 3 + 45 + 8 + 0 + 2 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 267628 + ... + 268916.

Almost surely, 2^345802608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345802608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524508840).

345802608 is an abundant number, since it is smaller than the sum of its proper divisors (703215072).

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

345802608 is a wasteful number, since it uses less digits than its factorization.

345802608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 345802608 is about 18595.7685509365. The cubic root of 345802608 is about 701.9013668130.

The spelling of 345802608 in words is "three hundred forty-five million, eight hundred two thousand, six hundred eight".