3813741408000 has 576 divisors, whose sum is σ = 13352493772800. Its totient is φ = 962139340800.

The previous prime is 3813741407999. The next prime is 3813741408031. The reversal of 3813741408000 is 8041473183.

It is a self number, because there is not a number n which added to its sum of digits gives 3813741408000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624735274 + ... + 2624736726.

It is an arithmetic number, because the mean of its divisors is an integer number (23181412800).

Almost surely, 2^{3813741408000} is an apocalyptic number.

3813741408000 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 3813741408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676246886400).

3813741408000 is an abundant number, since it is smaller than the sum of its proper divisors (9538752364800).

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

3813741408000 is a wasteful number, since it uses less digits than its factorization.

3813741408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 3813741408000 in words is "three trillion, eight hundred thirteen billion, seven hundred forty-one million, four hundred eight thousand".