3906449962272 has 1080 divisors, whose sum is σ = 14066478482364. Its totient is φ = 1056403814400.

The previous prime is 3906449962193. The next prime is 3906449962319. The reversal of 3906449962272 is 2722699446093.

3906449962272 is a `hidden beast` number, since 3 + 9 + 0 + 64 + 499 + 62 + 27 + 2 = 666.

3906449962272 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 2 ways, for example, as 3906299262096 + 150700176 = 1976436^2 + 12276^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3918204078 + ... + 3918205074.

Almost surely, 2^{3906449962272} is an apocalyptic number.

3906449962272 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 3906449962272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033239241182).

3906449962272 is an abundant number, since it is smaller than the sum of its proper divisors (10160028520092).

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

3906449962272 is a wasteful number, since it uses less digits than its factorization.

3906449962272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3906449962272 in words is "three trillion, nine hundred six billion, four hundred forty-nine million, nine hundred sixty-two thousand, two hundred seventy-two".