3978240 has 176 divisors, whose sum is σ = 14934912. Its totient is φ = 884736.

The previous prime is 3978229. The next prime is 3978253. The reversal of 3978240 is 428793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107502 + ... + 107538.

Almost surely, 2^3978240 is an apocalyptic number.

3978240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467456).

3978240 is an abundant number, since it is smaller than the sum of its proper divisors (10956672).

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

3978240 is a wasteful number, since it uses less digits than its factorization.

3978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3978240 is about 1994.5525814077. The cubic root of 3978240 is about 158.4517329238.

The spelling of 3978240 in words is "three million, nine hundred seventy-eight thousand, two hundred forty".