357221664 has 84 divisors (see below), whose sum is σ = 1054506726. Its totient is φ = 119066112.

The previous prime is 357221639. The next prime is 357221699. The reversal of 357221664 is 466122753.

357221664 is a `hidden beast` number, since 3 + 572 + 21 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 357210000 + 11664 = 18900^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 13 ways as a sum of consecutive naturals, for example, 15672 + ... + 30984.

Almost surely, 2^357221664 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 357221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527253363).

357221664 is an abundant number, since it is smaller than the sum of its proper divisors (697285062).

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

357221664 is an equidigital number, since it uses as much as digits as its factorization.

357221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15341 (or 15318 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 357221664 is about 18900.3085689097. The cubic root of 357221664 is about 709.5438874380.

The spelling of 357221664 in words is "three hundred fifty-seven million, two hundred twenty-one thousand, six hundred sixty-four".