3393939362688 has 192 divisors, whose sum is σ = 11344595015520. Its totient is φ = 953800151040.

The previous prime is 3393939362683. The next prime is 3393939362707. The reversal of 3393939362688 is 8862639393933.

3393939362688 is a `hidden beast` number, since 3 + 39 + 393 + 93 + 62 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393939362683) 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, 2957895 + ... + 3941702.

Almost surely, 2^{3393939362688} is an apocalyptic number.

It is an amenable number.

3393939362688 is an abundant number, since it is smaller than the sum of its proper divisors (7950655652832).

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

3393939362688 is a wasteful number, since it uses less digits than its factorization.

3393939362688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6899685 (or 6899670 counting only the distinct ones).

The product of its digits is 816293376, while the sum is 72.

The spelling of 3393939362688 in words is "three trillion, three hundred ninety-three billion, nine hundred thirty-nine million, three hundred sixty-two thousand, six hundred eighty-eight".