3906880 has 56 divisors (see below), whose sum is σ = 9646920. Its totient is φ = 1505280.

The previous prime is 3906863. The next prime is 3906883. The reversal of 3906880 is 886093.

3906880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 3904576 = 48^2 + 1976^2 .

It is a super-2 number, since 2×3906880² = 30527422668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906883) 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 7 ways as a sum of consecutive naturals, for example, 9070 + ... + 9490.

Almost surely, 2^3906880 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 3906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823460).

3906880 is an abundant number, since it is smaller than the sum of its proper divisors (5740040).

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

3906880 is a wasteful number, since it uses less digits than its factorization.

3906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3906880 is about 1976.5829099737. The cubic root of 3906880 is about 157.4985974512.

The spelling of 3906880 in words is "three million, nine hundred six thousand, eight hundred eighty".