3905280 has 144 divisors (see below), whose sum is σ = 13980960. Its totient is φ = 1032192.

The previous prime is 3905273. The next prime is 3905299. The reversal of 3905280 is 825093.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34504 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

Almost surely, 2^3905280 is an apocalyptic number.

3905280 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 3905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990480).

3905280 is an abundant number, since it is smaller than the sum of its proper divisors (10075680).

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

3905280 is a wasteful number, since it uses less digits than its factorization.

3905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3905280 is about 1976.1781296229. The cubic root of 3905280 is about 157.4770941745.

The spelling of 3905280 in words is "three million, nine hundred five thousand, two hundred eighty".