3362747379768 has 192 divisors, whose sum is σ = 11211405004800. Its totient is φ = 889366072320.

The previous prime is 3362747379751. The next prime is 3362747379779. The reversal of 3362747379768 is 8679737472633.

3362747379768 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 7 + 473 + 7 + 97 + 68 = 666.

It is a super-2 number, since 2×3362747379768² (a number of 26 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 3362747379696 and 3362747379705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4319553 + ... + 5038256.

It is an arithmetic number, because the mean of its divisors is an integer number (58392734400).

Almost surely, 2^{3362747379768} is an apocalyptic number.

It is an amenable number.

3362747379768 is an abundant number, since it is smaller than the sum of its proper divisors (7848657625032).

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

3362747379768 is a wasteful number, since it uses less digits than its factorization.

3362747379768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357882 (or 9357875 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 72.

The spelling of 3362747379768 in words is "three trillion, three hundred sixty-two billion, seven hundred forty-seven million, three hundred seventy-nine thousand, seven hundred sixty-eight".