3812265699840 has 1600 divisors, whose sum is σ = 15957252732960. Its totient is φ = 861237411840.

The previous prime is 3812265699797. The next prime is 3812265699841. The reversal of 3812265699840 is 489965622183.

3812265699840 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 26 + 569 + 9 + 8 + 40 = 666.

3812265699840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 424957964544 + 3387307735296 = 651888^2 + 1840464^2 .

It is not an unprimeable number, because it can be changed into a prime (3812265699841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1878887946 + ... + 1878889974.

Almost surely, 2^{3812265699840} is an apocalyptic number.

3812265699840 is a gapful number since it is divisible by the number (30) 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 3812265699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978626366480).

3812265699840 is an abundant number, since it is smaller than the sum of its proper divisors (12144987033120).

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

3812265699840 is a wasteful number, since it uses less digits than its factorization.

3812265699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3812265699840 in words is "three trillion, eight hundred twelve billion, two hundred sixty-five million, six hundred ninety-nine thousand, eight hundred forty".