3967471872 has 432 divisors, whose sum is σ = 14285107200. Its totient is φ = 1031159808.

The previous prime is 3967471867. The next prime is 3967471873. The reversal of 3967471872 is 2781747693.

3967471872 is a `hidden beast` number, since 3 + 96 + 7 + 471 + 87 + 2 = 666.

It is a super-2 number, since 2×3967471872² = 31481666110222368768, which contains 22 as substring.

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 (3967471873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26627254 + ... + 26627402.

Almost surely, 2^3967471872 is an apocalyptic number.

3967471872 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 3967471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142553600).

3967471872 is an abundant number, since it is smaller than the sum of its proper divisors (10317635328).

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

3967471872 is a wasteful number, since it uses less digits than its factorization.

3967471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 3967471872 is about 62987.8708324071. The cubic root of 3967471872 is about 1583.0864030750.

The spelling of 3967471872 in words is "three billion, nine hundred sixty-seven million, four hundred seventy-one thousand, eight hundred seventy-two".