3249658976256 has 1728 divisors, whose sum is σ = 12835927802880. Its totient is φ = 780337152000.

The previous prime is 3249658976219. The next prime is 3249658976339. The reversal of 3249658976256 is 6526798569423.

3249658976256 is a `hidden beast` number, since 3 + 2 + 496 + 5 + 89 + 7 + 6 + 2 + 56 = 666.

It is a super-2 number, since 2×3249658976256² (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 congruent number.

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, 11991361401 + ... + 11991361671.

It is an arithmetic number, because the mean of its divisors is an integer number (7428198960).

Almost surely, 2^{3249658976256} is an apocalyptic number.

3249658976256 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 3249658976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417963901440).

3249658976256 is an abundant number, since it is smaller than the sum of its proper divisors (9586268826624).

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

3249658976256 is a wasteful number, since it uses less digits than its factorization.

3249658976256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 382 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 3249658976256 in words is "three trillion, two hundred forty-nine billion, six hundred fifty-eight million, nine hundred seventy-six thousand, two hundred fifty-six".