354647664 has 180 divisors, whose sum is σ = 1170331344. Its totient is φ = 98205696.

The previous prime is 354647621. The next prime is 354647731. The reversal of 354647664 is 466746453.

It is a happy number.

354647664 is a `hidden beast` number, since 3 + 546 + 47 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1379824 + ... + 1380080.

Almost surely, 2^354647664 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 354647664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585165672).

354647664 is an abundant number, since it is smaller than the sum of its proper divisors (815683680).

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

354647664 is a wasteful number, since it uses less digits than its factorization.

354647664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 306 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 354647664 is about 18832.0913336783. The cubic root of 354647664 is about 707.8355454479.

The spelling of 354647664 in words is "three hundred fifty-four million, six hundred forty-seven thousand, six hundred sixty-four".