3971408 has 40 divisors (see below), whose sum is σ = 8957760. Its totient is φ = 1670400.

The previous prime is 3971393. The next prime is 3971411. The reversal of 3971408 is 8041793.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6308 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (223944).

Almost surely, 2^3971408 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 3971408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478880).

3971408 is an abundant number, since it is smaller than the sum of its proper divisors (4986352).

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

3971408 is a wasteful number, since it uses less digits than its factorization.

3971408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 3971408 is about 1992.8391806666. The cubic root of 3971408 is about 158.3609756601.

The spelling of 3971408 in words is "three million, nine hundred seventy-one thousand, four hundred eight".