3386756847474 has 288 divisors, whose sum is σ = 9912932610048. Its totient is φ = 811483920000.

The previous prime is 3386756847359. The next prime is 3386756847511. The reversal of 3386756847474 is 4747486576833.

3386756847474 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 75 + 6 + 84 + 7 + 474 = 666.

It is a super-2 number, since 2×3386756847474² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 456986829 + ... + 456994239.

It is an arithmetic number, because the mean of its divisors is an integer number (34419904896).

Almost surely, 2^{3386756847474} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386756847474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956466305024).

3386756847474 is an abundant number, since it is smaller than the sum of its proper divisors (6526175762574).

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

3386756847474 is a wasteful number, since it uses less digits than its factorization.

3386756847474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9398 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 3386756847474 in words is "three trillion, three hundred eighty-six billion, seven hundred fifty-six million, eight hundred forty-seven thousand, four hundred seventy-four".