345411664 has 60 divisors (see below), whose sum is σ = 730682400. Its totient is φ = 158101632.

The previous prime is 345411637. The next prime is 345411673. The reversal of 345411664 is 466114543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375397 + ... + 376315.

It is an arithmetic number, because the mean of its divisors is an integer number (12178040).

Almost surely, 2^345411664 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 345411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365341200).

345411664 is an abundant number, since it is smaller than the sum of its proper divisors (385270736).

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

345411664 is a wasteful number, since it uses less digits than its factorization.

345411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1073 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 345411664 is about 18585.2539396157. The cubic root of 345411664 is about 701.6367576641.

The spelling of 345411664 in words is "three hundred forty-five million, four hundred eleven thousand, six hundred sixty-four".