3809981872800 has 432 divisors, whose sum is σ = 13883615954208. Its totient is φ = 982533888000.

The previous prime is 3809981872777. The next prime is 3809981872811. The reversal of 3809981872800 is 82781899083.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31208679 + ... + 31330521.

It is an arithmetic number, because the mean of its divisors is an integer number (32137999894).

Almost surely, 2^{3809981872800} is an apocalyptic number.

3809981872800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3809981872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941807977104).

3809981872800 is an abundant number, since it is smaller than the sum of its proper divisors (10073634081408).

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

3809981872800 is a wasteful number, since it uses less digits than its factorization.

3809981872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122013 (or 121997 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 3809981872800 in words is "three trillion, eight hundred nine billion, nine hundred eighty-one million, eight hundred seventy-two thousand, eight hundred".