3386731006656 has 224 divisors, whose sum is σ = 10112813383680. Its totient is φ = 1111269583872.

The previous prime is 3386731006651. The next prime is 3386731006667. The reversal of 3386731006656 is 6566001376833.

It is a happy number.

It is a super-2 number, since 2×3386731006656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3386731006651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39685825 + ... + 39771071.

It is an arithmetic number, because the mean of its divisors is an integer number (45146488320).

Almost surely, 2^{3386731006656} is an apocalyptic number.

3386731006656 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 3386731006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056406691840).

3386731006656 is an abundant number, since it is smaller than the sum of its proper divisors (6726082377024).

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

3386731006656 is a wasteful number, since it uses less digits than its factorization.

3386731006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85628 (or 85612 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3386731006656 in words is "three trillion, three hundred eighty-six billion, seven hundred thirty-one million, six thousand, six hundred fifty-six".