3811325472 has 216 divisors, whose sum is σ = 11718740124. Its totient is φ = 1170849792.

The previous prime is 3811325471. The next prime is 3811325503. The reversal of 3811325472 is 2745231183.

3811325472 is a `hidden beast` number, since 3 + 81 + 1 + 32 + 547 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3691291536 + 120033936 = 60756^2 + 10956^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811325471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33728488 + ... + 33728600.

Almost surely, 2^3811325472 is an apocalyptic number.

3811325472 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 3811325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859370062).

3811325472 is an abundant number, since it is smaller than the sum of its proper divisors (7907414652).

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

3811325472 is a wasteful number, since it uses less digits than its factorization.

3811325472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 218 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3811325472 is about 61735.9333937700. The cubic root of 3811325472 is about 1562.0395020731.

The spelling of 3811325472 in words is "three billion, eight hundred eleven million, three hundred twenty-five thousand, four hundred seventy-two".