3812932206720 has 1792 divisors, whose sum is σ = 17369126369280. Its totient is φ = 778266869760.

The previous prime is 3812932206679. The next prime is 3812932206757. The reversal of 3812932206720 is 276022392183.

3812932206720 is a `hidden beast` number, since 3 + 81 + 293 + 220 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1316164312 + ... + 1316167208.

It is an arithmetic number, because the mean of its divisors is an integer number (9692592840).

Almost surely, 2^{3812932206720} is an apocalyptic number.

3812932206720 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 3812932206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8684563184640).

3812932206720 is an abundant number, since it is smaller than the sum of its proper divisors (13556194162560).

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

3812932206720 is a wasteful number, since it uses less digits than its factorization.

3812932206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3812932206720 in words is "three trillion, eight hundred twelve billion, nine hundred thirty-two million, two hundred six thousand, seven hundred twenty".