3801803625984 has 320 divisors, whose sum is σ = 12474807561216. Its totient is φ = 1001927245824.

The previous prime is 3801803625937. The next prime is 3801803626003. The reversal of 3801803625984 is 4895263081083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202246474 + ... + 202265270.

Almost surely, 2^{3801803625984} 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 3801803625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237403780608).

3801803625984 is an abundant number, since it is smaller than the sum of its proper divisors (8673003935232).

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

3801803625984 is a wasteful number, since it uses less digits than its factorization.

3801803625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20285 (or 20269 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 3801803625984 in words is "three trillion, eight hundred one billion, eight hundred three million, six hundred twenty-five thousand, nine hundred eighty-four".