3826667225088 has 380 divisors, whose sum is σ = 12106392905772. Its totient is φ = 1200409804800.

The previous prime is 3826667225083. The next prime is 3826667225089. The reversal of 3826667225088 is 8805227666283.

It can be written as a sum of positive squares in 2 ways, for example, as 3131031158784 + 695636066304 = 1769472^2 + 834048^2 .

It is not an unprimeable number, because it can be changed into a prime (3826667225083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 360966988 + ... + 360977588.

Almost surely, 2^{3826667225088} 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 3826667225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053196452886).

3826667225088 is an abundant number, since it is smaller than the sum of its proper divisors (8279725680684).

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

3826667225088 is an frugal number, since it uses more digits than its factorization.

3826667225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 3826667225088 in words is "three trillion, eight hundred twenty-six billion, six hundred sixty-seven million, two hundred twenty-five thousand, eighty-eight".