3813403331136 has 896 divisors, whose sum is σ = 13146292224000. Its totient is φ = 950043967488.

The previous prime is 3813403331131. The next prime is 3813403331149. The reversal of 3813403331136 is 6311333043183.

It is a junction number, because it is equal to n+sod(n) for n = 3813403331094 and 3813403331103.

It is not an unprimeable number, because it can be changed into a prime (3813403331131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2543964115 + ... + 2543965613.

Almost surely, 2^{3813403331136} 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 3813403331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573146112000).

3813403331136 is an abundant number, since it is smaller than the sum of its proper divisors (9332888892864).

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

3813403331136 is a wasteful number, since it uses less digits than its factorization.

3813403331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 3813403331136 in words is "three trillion, eight hundred thirteen billion, four hundred three million, three hundred thirty-one thousand, one hundred thirty-six".