354815664 has 160 divisors (see below), whose sum is σ = 1116595200. Its totient is φ = 96864768.

The previous prime is 354815651. The next prime is 354815683. The reversal of 354815664 is 466518453.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378204 + ... + 379140.

It is an arithmetic number, because the mean of its divisors is an integer number (6978720).

Almost surely, 2^354815664 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 354815664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558297600).

354815664 is an abundant number, since it is smaller than the sum of its proper divisors (761779536).

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

354815664 is a wasteful number, since it uses less digits than its factorization.

354815664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 972 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 354815664 is about 18836.5512767067. The cubic root of 354815664 is about 707.9472972995.

The spelling of 354815664 in words is "three hundred fifty-four million, eight hundred fifteen thousand, six hundred sixty-four".