3801983513328 has 1440 divisors, whose sum is σ = 14968723940352. Its totient is φ = 885194956800.

The previous prime is 3801983513249. The next prime is 3801983513333. The reversal of 3801983513328 is 8233153891083.

3801983513328 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 98 + 3 + 513 + 32 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5229688101 + ... + 5229688827.

Almost surely, 2^{3801983513328} 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 3801983513328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484361970176).

3801983513328 is an abundant number, since it is smaller than the sum of its proper divisors (11166740427024).

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

3801983513328 is a wasteful number, since it uses less digits than its factorization.

3801983513328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3801983513328 in words is "three trillion, eight hundred one billion, nine hundred eighty-three million, five hundred thirteen thousand, three hundred twenty-eight".