3299351825672 has 192 divisors, whose sum is σ = 7606193544000. Its totient is φ = 1334092032000.

The previous prime is 3299351825629. The next prime is 3299351825681. The reversal of 3299351825672 is 2765281539923.

It is a happy number.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3139249547 + ... + 3139250597.

It is an arithmetic number, because the mean of its divisors is an integer number (39615591375).

Almost surely, 2^{3299351825672} 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 3299351825672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803096772000).

3299351825672 is an abundant number, since it is smaller than the sum of its proper divisors (4306841718328).

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

3299351825672 is a wasteful number, since it uses less digits than its factorization.

3299351825672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 62.

The spelling of 3299351825672 in words is "three trillion, two hundred ninety-nine billion, three hundred fifty-one million, eight hundred twenty-five thousand, six hundred seventy-two".