345579264 has 216 divisors, whose sum is σ = 1091863920. Its totient is φ = 107790336.

The previous prime is 345579253. The next prime is 345579271. The reversal of 345579264 is 462975543.

345579264 is a `hidden beast` number, since 3 + 4 + 557 + 92 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1997482 + ... + 1997654.

Almost surely, 2^345579264 is an apocalyptic number.

345579264 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 345579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545931960).

345579264 is an abundant number, since it is smaller than the sum of its proper divisors (746284656).

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

345579264 is a wasteful number, since it uses less digits than its factorization.

345579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 345579264 is about 18589.7623438279. The cubic root of 345579264 is about 701.7502216052.

The spelling of 345579264 in words is "three hundred forty-five million, five hundred seventy-nine thousand, two hundred sixty-four".