345662464 has 99 divisors (see below), whose sum is σ = 813602667. Its totient is φ = 146356224.

The previous prime is 345662453. The next prime is 345662467. The reversal of 345662464 is 464266543.

The square root of 345662464 is 18592.

It is a perfect power (a square), and thus also a powerful number.

345662464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345662467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4164567 + ... + 4164649.

Almost surely, 2^345662464 is an apocalyptic number.

345662464 is the 18592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345662464

345662464 is an abundant number, since it is smaller than the sum of its proper divisors (467940203).

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

345662464 is an frugal number, since it uses more digits than its factorization.

345662464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 92 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

The cubic root of 345662464 is about 701.8065337547.

The spelling of 345662464 in words is "three hundred forty-five million, six hundred sixty-two thousand, four hundred sixty-four".