3343248928656 has 720 divisors, whose sum is σ = 12175589462400. Its totient is φ = 833769345024.

The previous prime is 3343248928631. The next prime is 3343248928667. The reversal of 3343248928656 is 6568298423433.

3343248928656 is a `hidden beast` number, since 3 + 343 + 2 + 4 + 8 + 9 + 286 + 5 + 6 = 666.

It is a super-2 number, since 2×3343248928656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3343248928593 and 3343248928602.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 616946715 + ... + 616952133.

It is an arithmetic number, because the mean of its divisors is an integer number (16910540920).

Almost surely, 2^{3343248928656} is an apocalyptic number.

3343248928656 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 3343248928656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087794731200).

3343248928656 is an abundant number, since it is smaller than the sum of its proper divisors (8832340533744).

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

3343248928656 is a wasteful number, since it uses less digits than its factorization.

3343248928656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5556 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 3343248928656 in words is "three trillion, three hundred forty-three billion, two hundred forty-eight million, nine hundred twenty-eight thousand, six hundred fifty-six".