3782147145072 has 80 divisors (see below), whose sum is σ = 9905532814848. Its totient is φ = 1243302151680.

The previous prime is 3782147145047. The next prime is 3782147145103. The reversal of 3782147145072 is 2705417412873.

3782147145072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32778393 + ... + 32893575.

Almost surely, 2^{3782147145072} is an apocalyptic number.

It is an amenable number.

3782147145072 is an abundant number, since it is smaller than the sum of its proper divisors (6123385669776).

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

3782147145072 is a wasteful number, since it uses less digits than its factorization.

3782147145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124638 (or 124632 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 3782147145072 in words is "three trillion, seven hundred eighty-two billion, one hundred forty-seven million, one hundred forty-five thousand, seventy-two".