345817264 has 60 divisors (see below), whose sum is σ = 768305736. Its totient is φ = 150199296.

The previous prime is 345817261. The next prime is 345817273. The reversal of 345817264 is 462718543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345817261) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42207 + ... + 49729.

Almost surely, 2^345817264 is an apocalyptic number.

345817264 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 345817264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384152868).

345817264 is an abundant number, since it is smaller than the sum of its proper divisors (422488472).

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

345817264 is a wasteful number, since it uses less digits than its factorization.

345817264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7555 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 345817264 is about 18596.1626149053. The cubic root of 345817264 is about 701.9112827986.

The spelling of 345817264 in words is "three hundred forty-five million, eight hundred seventeen thousand, two hundred sixty-four".