3978816 has 112 divisors (see below), whose sum is σ = 11850624. Its totient is φ = 1171456.

The previous prime is 3978811. The next prime is 3978817. The reversal of 3978816 is 6188793.

It is an Ulam number.

Its product of digits (72576) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (3978811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75046 + ... + 75098.

Almost surely, 2^3978816 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 3978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925312).

3978816 is an abundant number, since it is smaller than the sum of its proper divisors (7871808).

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

3978816 is a wasteful number, since it uses less digits than its factorization.

3978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 3978816 is about 1994.6969694668. The cubic root of 3978816 is about 158.4593798392.

The spelling of 3978816 in words is "three million, nine hundred seventy-eight thousand, eight hundred sixteen".