3974880 has 216 divisors, whose sum is σ = 15771672. Its totient is φ = 838656.

The previous prime is 3974849. The next prime is 3974881. The reversal of 3974880 is 884793.

3974880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305754 + ... + 305766.

It is an arithmetic number, because the mean of its divisors is an integer number (73017).

Almost surely, 2^3974880 is an apocalyptic number.

3974880 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 3974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885836).

3974880 is an abundant number, since it is smaller than the sum of its proper divisors (11796792).

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

3974880 is a wasteful number, since it uses less digits than its factorization.

3974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3974880 is about 1993.7101093188. The cubic root of 3974880 is about 158.4071112000.

The spelling of 3974880 in words is "three million, nine hundred seventy-four thousand, eight hundred eighty".