3386583846396 has 240 divisors, whose sum is σ = 9280203609600. Its totient is φ = 1075544894592.

The previous prime is 3386583846337. The next prime is 3386583846461. The reversal of 3386583846396 is 6936483856833.

3386583846396 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 583 + 8 + 4 + 6 + 39 + 6 = 666.

It is a super-2 number, since 2×3386583846396² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218101585 + ... + 218117111.

It is an arithmetic number, because the mean of its divisors is an integer number (38667515040).

Almost surely, 2^{3386583846396} is an apocalyptic number.

3386583846396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386583846396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640101804800).

3386583846396 is an abundant number, since it is smaller than the sum of its proper divisors (5893619763204).

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

3386583846396 is a wasteful number, since it uses less digits than its factorization.

3386583846396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15878 (or 15867 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 72.

The spelling of 3386583846396 in words is "three trillion, three hundred eighty-six billion, five hundred eighty-three million, eight hundred forty-six thousand, three hundred ninety-six".