3801445908840 has 256 divisors, whose sum is σ = 13018708800000. Its totient is φ = 985961134080.

The previous prime is 3801445908817. The next prime is 3801445908847. The reversal of 3801445908840 is 488095441083.

It is a happy number.

3801445908840 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 4 + 4 + 590 + 8 + 8 + 40 = 666.

3801445908840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3801445908847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119824180 + ... + 119855900.

It is an arithmetic number, because the mean of its divisors is an integer number (50854331250).

Almost surely, 2^{3801445908840} is an apocalyptic number.

3801445908840 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 3801445908840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509354400000).

3801445908840 is an abundant number, since it is smaller than the sum of its proper divisors (9217262891160).

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

3801445908840 is a wasteful number, since it uses less digits than its factorization.

3801445908840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34777 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3801445908840 in words is "three trillion, eight hundred one billion, four hundred forty-five million, nine hundred eight thousand, eight hundred forty".