3812773795272 has 144 divisors (see below), whose sum is σ = 11183567805540. Its totient is φ = 1172964409344.

The previous prime is 3812773795249. The next prime is 3812773795277. The reversal of 3812773795272 is 2725973772183.

It is a happy number.

3812773795272 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 77 + 37 + 9 + 527 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3039757956 + 3809734037316 = 55134^2 + 1951854^2 .

It is not an unprimeable number, because it can be changed into a prime (3812773795277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83413128 + ... + 83458824.

Almost surely, 2^{3812773795272} 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 3812773795272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591783902770).

3812773795272 is an abundant number, since it is smaller than the sum of its proper divisors (7370794010268).

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

3812773795272 is a wasteful number, since it uses less digits than its factorization.

3812773795272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52592 (or 52572 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 3812773795272 in words is "three trillion, eight hundred twelve billion, seven hundred seventy-three million, seven hundred ninety-five thousand, two hundred seventy-two".