3283585701264 has 80 divisors (see below), whose sum is σ = 10281935039040. Its totient is φ = 995025968640.

The previous prime is 3283585701239. The next prime is 3283585701269. The reversal of 3283585701264 is 4621075853823.

3283585701264 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 5 + 8 + 570 + 1 + 2 + 64 = 666.

3283585701264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3283585701264.

It is not an unprimeable number, because it can be changed into a prime (3283585701269) 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, 345490377 + ... + 345499880.

It is an arithmetic number, because the mean of its divisors is an integer number (128524187988).

Almost surely, 2^{3283585701264} is an apocalyptic number.

It is an amenable number.

3283585701264 is an abundant number, since it is smaller than the sum of its proper divisors (6998349337776).

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

3283585701264 is a wasteful number, since it uses less digits than its factorization.

3283585701264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690990285 (or 690990273 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3283585701264 in words is "three trillion, two hundred eighty-three billion, five hundred eighty-five million, seven hundred one thousand, two hundred sixty-four".