345660864 has 112 divisors (see below), whose sum is σ = 976688928. Its totient is φ = 107511808.

The previous prime is 345660857. The next prime is 345660871. The reversal of 345660864 is 468066543.

It is an interprime number because it is at equal distance from previous prime (345660857) and next prime (345660871).

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 15 ways as a sum of consecutive naturals, for example, 446782 + ... + 447554.

Almost surely, 2^345660864 is an apocalyptic number.

345660864 is a gapful number since it is divisible by the number (34) 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 345660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488344464).

345660864 is an abundant number, since it is smaller than the sum of its proper divisors (631028064).

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

345660864 is a wasteful number, since it uses less digits than its factorization.

345660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 345660864 is about 18591.9569706903. The cubic root of 345660864 is about 701.8054509140.

The spelling of 345660864 in words is "three hundred forty-five million, six hundred sixty thousand, eight hundred sixty-four".