3253968779832 has 448 divisors, whose sum is σ = 9800107315200. Its totient is φ = 1009482808320.

The previous prime is 3253968779753. The next prime is 3253968779837. The reversal of 3253968779832 is 2389778693523.

3253968779832 is a `hidden beast` number, since 3 + 2 + 539 + 6 + 8 + 7 + 7 + 9 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253968779837) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1505768832 + ... + 1505770992.

Almost surely, 2^{3253968779832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253968779832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900053657600).

3253968779832 is an abundant number, since it is smaller than the sum of its proper divisors (6546138535368).

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

3253968779832 is a wasteful number, since it uses less digits than its factorization.

3253968779832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2419 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 3253968779832 in words is "three trillion, two hundred fifty-three billion, nine hundred sixty-eight million, seven hundred seventy-nine thousand, eight hundred thirty-two".