3951416 has 32 divisors (see below), whose sum is σ = 8678880. Its totient is φ = 1651200.

The previous prime is 3951413. The next prime is 3951419. The reversal of 3951416 is 6141593.

3951416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3951413) and next prime (3951419).

It is a super-2 number, since 2×3951416² = 31227376810112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3951413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1436 + ... + 3156.

It is an arithmetic number, because the mean of its divisors is an integer number (271215).

Almost surely, 2^3951416 is an apocalyptic number.

3951416 is the 1148-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3951416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339440).

3951416 is an abundant number, since it is smaller than the sum of its proper divisors (4727464).

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

3951416 is a wasteful number, since it uses less digits than its factorization.

3951416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1771 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 3951416 is about 1987.8168929758. The cubic root of 3951416 is about 158.0947997025.

The spelling of 3951416 in words is "three million, nine hundred fifty-one thousand, four hundred sixteen".