3915280 has 40 divisors (see below), whose sum is σ = 9207000. Its totient is φ = 1548288.

The previous prime is 3915277. The next prime is 3915293. The reversal of 3915280 is 825193.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 3083536 = 912^2 + 1756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8496 + ... + 8944.

It is an arithmetic number, because the mean of its divisors is an integer number (230175).

Almost surely, 2^3915280 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 3915280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603500).

3915280 is an abundant number, since it is smaller than the sum of its proper divisors (5291720).

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

3915280 is a wasteful number, since it uses less digits than its factorization.

3915280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 3915280 is about 1978.7066482933. The cubic root of 3915280 is about 157.6113934405.

It can be divided in two parts, 391 and 5280, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 3915280 in words is "three million, nine hundred fifteen thousand, two hundred eighty".