345348864 has 432 divisors, whose sum is σ = 1275456000. Its totient is φ = 89413632.

The previous prime is 345348859. The next prime is 345348893. The reversal of 345348864 is 468843543.

345348864 is a `hidden beast` number, since 34 + 534 + 8 + 86 + 4 = 666.

345348864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1105920) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15015157 + ... + 15015179.

Almost surely, 2^345348864 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 345348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637728000).

345348864 is an abundant number, since it is smaller than the sum of its proper divisors (930107136).

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

345348864 is a wasteful number, since it uses less digits than its factorization.

345348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 345348864 is about 18583.5643513294. The cubic root of 345348864 is about 701.5942330830.

The spelling of 345348864 in words is "three hundred forty-five million, three hundred forty-eight thousand, eight hundred sixty-four".