3332411587008 has 672 divisors, whose sum is σ = 11461213470720. Its totient is φ = 905748480000.

The previous prime is 3332411586979. The next prime is 3332411587159. The reversal of 3332411587008 is 8007851142333.

3332411587008 is a `hidden beast` number, since 3 + 33 + 24 + 11 + 587 + 0 + 0 + 8 = 666.

3332411587008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3332411587008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2774696808 + ... + 2774698008.

Almost surely, 2^{3332411587008} 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 3332411587008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730606735360).

3332411587008 is an abundant number, since it is smaller than the sum of its proper divisors (8128801883712).

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

3332411587008 is a wasteful number, since it uses less digits than its factorization.

3332411587008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3332411587008 in words is "three trillion, three hundred thirty-two billion, four hundred eleven million, five hundred eighty-seven thousand, eight".