3978208 has 48 divisors (see below), whose sum is σ = 8615376. Its totient is φ = 1797120.

The previous prime is 3978197. The next prime is 3978217. The reversal of 3978208 is 8028793.

It is a super-2 number, since 2×3978208² = 31652277782528, which contains 22 as substring.

It is a zygodrome in base 6.

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, 30303 + ... + 30433.

It is an arithmetic number, because the mean of its divisors is an integer number (179487).

Almost surely, 2^3978208 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 3978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307688).

3978208 is an abundant number, since it is smaller than the sum of its proper divisors (4637168).

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

3978208 is a wasteful number, since it uses less digits than its factorization.

3978208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 3978208 is about 1994.5445595424. The cubic root of 3978208 is about 158.4513080735.

It can be divided in two parts, 3978 and 208, that added together give a triangular number (4186 = T₉₁).

The spelling of 3978208 in words is "three million, nine hundred seventy-eight thousand, two hundred eight".