3892471632 has 320 divisors, whose sum is σ = 13811814400. Its totient is φ = 1024565760.

The previous prime is 3892471607. The next prime is 3892471637. The reversal of 3892471632 is 2361742983.

3892471632 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 4 + 7 + 1 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892471637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124957 + ... + 2126787.

It is an arithmetic number, because the mean of its divisors is an integer number (43161920).

Almost surely, 2^3892471632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3892471632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905907200).

3892471632 is an abundant number, since it is smaller than the sum of its proper divisors (9919342768).

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

3892471632 is a wasteful number, since it uses less digits than its factorization.

3892471632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

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

The square root of 3892471632 is about 62389.6756843630. The cubic root of 3892471632 is about 1573.0474343256.

The spelling of 3892471632 in words is "three billion, eight hundred ninety-two million, four hundred seventy-one thousand, six hundred thirty-two".