356033664 has 128 divisors (see below), whose sum is σ = 1200988800. Its totient is φ = 101716992.

The previous prime is 356033663. The next prime is 356033677. The reversal of 356033664 is 466330653.

It is a happy number.

356033664 is a `hidden beast` number, since 3 + 560 + 3 + 36 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (356033663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16834 + ... + 31550.

It is an arithmetic number, because the mean of its divisors is an integer number (9382725).

Almost surely, 2^356033664 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 356033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600494400).

356033664 is an abundant number, since it is smaller than the sum of its proper divisors (844955136).

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

356033664 is a wasteful number, since it uses less digits than its factorization.

356033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14747 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 356033664 is about 18868.8543372405. The cubic root of 356033664 is about 708.7564451697.

The spelling of 356033664 in words is "three hundred fifty-six million, thirty-three thousand, six hundred sixty-four".