3728086632 has 48 divisors (see below), whose sum is σ = 10114043940. Its totient is φ = 1240585728.

The previous prime is 3728086601. The next prime is 3728086639. The reversal of 3728086632 is 2366808273.

3728086632 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 0 + 8 + 6 + 632 = 666.

3728086632 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 3700775556 + 27311076 = 60834^2 + 5226^2 .

It is not an unprimeable number, because it can be changed into a prime (3728086639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963 + ... + 86354.

Almost surely, 2^3728086632 is an apocalyptic number.

It is an amenable number.

3728086632 is an abundant number, since it is smaller than the sum of its proper divisors (6385957308).

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

3728086632 is a wasteful number, since it uses less digits than its factorization.

3728086632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87922 (or 87915 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3728086632 is about 61058.0595171514. The cubic root of 3728086632 is about 1550.5841200469.

The spelling of 3728086632 in words is "three billion, seven hundred twenty-eight million, eighty-six thousand, six hundred thirty-two".