3971916 has 120 divisors (see below), whose sum is σ = 11952864. Its totient is φ = 1140480.

The previous prime is 3971911. The next prime is 3971917. The reversal of 3971916 is 6191793.

It is a super-2 number, since 2×3971916² = 31552233422112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96856 + ... + 96896.

Almost surely, 2^3971916 is an apocalyptic number.

3971916 is a gapful number since it is divisible by the number (36) 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 3971916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976432).

3971916 is an abundant number, since it is smaller than the sum of its proper divisors (7980948).

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

3971916 is a wasteful number, since it uses less digits than its factorization.

3971916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 3971916 is about 1992.9666329369. The cubic root of 3971916 is about 158.3677275850.

The spelling of 3971916 in words is "three million, nine hundred seventy-one thousand, nine hundred sixteen".