3812733205632 has 192 divisors, whose sum is σ = 11817838501560. Its totient is φ = 1172916633600.

The previous prime is 3812733205627. The next prime is 3812733205669. The reversal of 3812733205632 is 2365023372183.

3812733205632 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 7 + 3 + 3 + 2 + 0 + 5 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3273002012736 + 539731192896 = 1809144^2 + 734664^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85355848 + ... + 85400504.

Almost surely, 2^{3812733205632} is an apocalyptic number.

3812733205632 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 3812733205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908919250780).

3812733205632 is an abundant number, since it is smaller than the sum of its proper divisors (8005105295928).

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

3812733205632 is a wasteful number, since it uses less digits than its factorization.

3812733205632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50391 (or 50376 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3812733205632 in words is "three trillion, eight hundred twelve billion, seven hundred thirty-three million, two hundred five thousand, six hundred thirty-two".