345814668 has 72 divisors (see below), whose sum is σ = 925317120. Its totient is φ = 108591840.

The previous prime is 345814661. The next prime is 345814681. The reversal of 345814668 is 866418543.

345814668 is a `hidden beast` number, since 3 + 4 + 581 + 4 + 6 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345814661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129321 + ... + 131967.

Almost surely, 2^345814668 is an apocalyptic number.

345814668 is a gapful number since it is divisible by the number (38) 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 345814668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462658560).

345814668 is an abundant number, since it is smaller than the sum of its proper divisors (579502452).

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

345814668 is a wasteful number, since it uses less digits than its factorization.

345814668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2862 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 345814668 is about 18596.0928154277. The cubic root of 345814668 is about 701.9095264122.

The spelling of 345814668 in words is "three hundred forty-five million, eight hundred fourteen thousand, six hundred sixty-eight".