3823025133312 has 1080 divisors, whose sum is σ = 14519320632432. Its totient is φ = 989356032000.

The previous prime is 3823025133289. The next prime is 3823025133329. The reversal of 3823025133312 is 2133315203283.

3823025133312 is a `hidden beast` number, since 3 + 8 + 2 + 302 + 5 + 1 + 33 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4481857878 + ... + 4481858730.

Almost surely, 2^{3823025133312} is an apocalyptic number.

3823025133312 is a gapful number since it is divisible by the number (32) 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 3823025133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259660316216).

3823025133312 is an abundant number, since it is smaller than the sum of its proper divisors (10696295499120).

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

3823025133312 is a wasteful number, since it uses less digits than its factorization.

3823025133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3823025133312 in words is "three trillion, eight hundred twenty-three billion, twenty-five million, one hundred thirty-three thousand, three hundred twelve".