3978400 has 36 divisors (see below), whose sum is σ = 9714222. Its totient is φ = 1591040.

The previous prime is 3978349. The next prime is 3978421. The reversal of 3978400 is 48793.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3196944 + 781456 = 1788^2 + 884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1687 + ... + 3286.

Almost surely, 2^3978400 is an apocalyptic number.

It is an amenable number.

3978400 is an abundant number, since it is smaller than the sum of its proper divisors (5735822).

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

3978400 is a wasteful number, since it uses less digits than its factorization.

3978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3978400 is about 1994.5926902503. The cubic root of 3978400 is about 158.4538571410.

The spelling of 3978400 in words is "three million, nine hundred seventy-eight thousand, four hundred".