3972016 has 30 divisors (see below), whose sum is σ = 8184620. Its totient is φ = 1867008.

The previous prime is 3972011. The next prime is 3972019. The reversal of 3972016 is 6102793.

It is a super-2 number, since 2×3972016² = 31553822208512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3972011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4195 + ... + 5053.

Almost surely, 2^3972016 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 3972016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092310).

3972016 is an abundant number, since it is smaller than the sum of its proper divisors (4212604).

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

3972016 is a wasteful number, since it uses less digits than its factorization.

3972016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 3972016 is about 1992.9917210064. The cubic root of 3972016 is about 158.3690566363.

The spelling of 3972016 in words is "three million, nine hundred seventy-two thousand, sixteen".