3997280 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1322496.

The previous prime is 3997271. The next prime is 3997297. The reversal of 3997280 is 827993.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48119 + ... + 48201.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3997280 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 3997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3997280 is an abundant number, since it is smaller than the sum of its proper divisors (7179424).

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

3997280 is a wasteful number, since it uses less digits than its factorization.

3997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 3997280 is about 1999.3198843607. The cubic root of 3997280 is about 158.7041159475.

The spelling of 3997280 in words is "three million, nine hundred ninety-seven thousand, two hundred eighty".