3330825040 has 80 divisors (see below), whose sum is σ = 8093374848. Its totient is φ = 1272432128.

The previous prime is 3330825023. The next prime is 3330825067. The reversal of 3330825040 is 405280333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3330825040² = 22188790894182003200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1863027 + ... + 1864813.

Almost surely, 2^3330825040 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 3330825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046687424).

3330825040 is an abundant number, since it is smaller than the sum of its proper divisors (4762549808).

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

3330825040 is a wasteful number, since it uses less digits than its factorization.

3330825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3330825040 is about 57713.3003734841. The cubic root of 3330825040 is about 1493.4267989084.

The spelling of 3330825040 in words is "three billion, three hundred thirty million, eight hundred twenty-five thousand, forty".