3813752385408 has 256 divisors, whose sum is σ = 11756839610880. Its totient is φ = 1072880640000.

The previous prime is 3813752385403. The next prime is 3813752385433. The reversal of 3813752385408 is 8045832573183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813752385403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49100523 + ... + 49178133.

It is an arithmetic number, because the mean of its divisors is an integer number (45925154730).

Almost surely, 2^{3813752385408} 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 3813752385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878419805440).

3813752385408 is an abundant number, since it is smaller than the sum of its proper divisors (7943087225472).

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

3813752385408 is a wasteful number, since it uses less digits than its factorization.

3813752385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77917 (or 77905 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 3813752385408 in words is "three trillion, eight hundred thirteen billion, seven hundred fifty-two million, three hundred eighty-five thousand, four hundred eight".