359849664 has 168 divisors, whose sum is σ = 1098377280. Its totient is φ = 112320000.

The previous prime is 359849653. The next prime is 359849669. The reversal of 359849664 is 466948953.

359849664 is a `hidden beast` number, since 3 + 5 + 98 + 496 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 359849664.

It is not an unprimeable number, because it can be changed into a prime (359849669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433539 + ... + 1433789.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^359849664 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 359849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549188640).

359849664 is an abundant number, since it is smaller than the sum of its proper divisors (738527616).

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

359849664 is a wasteful number, since it uses less digits than its factorization.

359849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 359849664 is about 18969.7038458696. The cubic root of 359849664 is about 711.2796232011.

The spelling of 359849664 in words is "three hundred fifty-nine million, eight hundred forty-nine thousand, six hundred sixty-four".