3908802136800 has 432 divisors, whose sum is σ = 14090481401472. Its totient is φ = 933416985600.

The previous prime is 3908802136777. The next prime is 3908802136843. The reversal of 3908802136800 is 86312088093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3908802136800.

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 71 ways as a sum of consecutive naturals, for example, 118493109 + ... + 118526091.

It is an arithmetic number, because the mean of its divisors is an integer number (32616855096).

Almost surely, 2^{3908802136800} is an apocalyptic number.

3908802136800 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 3908802136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045240700736).

3908802136800 is an abundant number, since it is smaller than the sum of its proper divisors (10181679264672).

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

3908802136800 is a wasteful number, since it uses less digits than its factorization.

3908802136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33151 (or 33071 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 3908802136800 in words is "three trillion, nine hundred eight billion, eight hundred two million, one hundred thirty-six thousand, eight hundred".