3332705184864 has 144 divisors (see below), whose sum is σ = 10407431833344. Its totient is φ = 1003222368000.

The previous prime is 3332705184841. The next prime is 3332705184869. The reversal of 3332705184864 is 4684815072333.

It is a happy number.

3332705184864 is a `hidden beast` number, since 3 + 3 + 3 + 27 + 0 + 518 + 48 + 64 = 666.

3332705184864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3332705184864² (a number of 26 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 3332705184864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332705184869) 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, 3005044 + ... + 3961779.

It is an arithmetic number, because the mean of its divisors is an integer number (72273832176).

Almost surely, 2^{3332705184864} is an apocalyptic number.

It is an amenable number.

3332705184864 is an abundant number, since it is smaller than the sum of its proper divisors (7074726648480).

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

3332705184864 is a wasteful number, since it uses less digits than its factorization.

3332705184864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967001 (or 6966990 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3332705184864 in words is "three trillion, three hundred thirty-two billion, seven hundred five million, one hundred eighty-four thousand, eight hundred sixty-four".