3995280 has 120 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1025280.

The previous prime is 3995279. The next prime is 3995281. The reversal of 3995280 is 825993.

It is an interprime number because it is at equal distance from previous prime (3995279) and next prime (3995281).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3995281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22231 + ... + 22409.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^3995280 is an apocalyptic number.

3995280 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 3995280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

3995280 is an abundant number, since it is smaller than the sum of its proper divisors (9932400).

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

3995280 is a wasteful number, since it uses less digits than its factorization.

3995280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3995280 is about 1998.8196516945. The cubic root of 3995280 is about 158.6776428471.

The spelling of 3995280 in words is "three million, nine hundred ninety-five thousand, two hundred eighty".