3978016 has 72 divisors (see below), whose sum is σ = 9480240. Its totient is φ = 1636992.

The previous prime is 3977999. The next prime is 3978031. The reversal of 3978016 is 6108793.

It is a super-2 number, since 2×3978016² = 31649222592512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67395 + ... + 67453.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

Almost surely, 2^3978016 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 3978016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120).

3978016 is an abundant number, since it is smaller than the sum of its proper divisors (5502224).

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

3978016 is a wasteful number, since it uses less digits than its factorization.

3978016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 3978016 is about 1994.4964276729. The cubic root of 3978016 is about 158.4487589240.

The spelling of 3978016 in words is "three million, nine hundred seventy-eight thousand, sixteen".