3325968072 has 96 divisors (see below), whose sum is σ = 10306545600. Its totient is φ = 949180032.

The previous prime is 3325968059. The next prime is 3325968097. The reversal of 3325968072 is 2708695233.

It is a super-2 number, since 2×3325968072² = 22124127231926794368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499179 + ... + 505797.

It is an arithmetic number, because the mean of its divisors is an integer number (107359850).

Almost surely, 2^3325968072 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 3325968072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153272800).

3325968072 is an abundant number, since it is smaller than the sum of its proper divisors (6980577528).

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

3325968072 is a wasteful number, since it uses less digits than its factorization.

3325968072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3325968072 is about 57671.2066112718. The cubic root of 3325968072 is about 1492.7005469426.

The spelling of 3325968072 in words is "three billion, three hundred twenty-five million, nine hundred sixty-eight thousand, seventy-two".