3909456 has 60 divisors (see below), whose sum is σ = 11591892. Its totient is φ = 1225728.

The previous prime is 3909427. The next prime is 3909463. The reversal of 3909456 is 6549093.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 2005056 = 1380^2 + 1416^2 .

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3909456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1650 + ... + 3246.

Almost surely, 2^3909456 is an apocalyptic number.

3909456 is a gapful number since it is divisible by the number (36) 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 3909456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795946).

3909456 is an abundant number, since it is smaller than the sum of its proper divisors (7682436).

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

3909456 is a wasteful number, since it uses less digits than its factorization.

3909456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3909456 is about 1977.2344322310. The cubic root of 3909456 is about 157.5332053950.

The spelling of 3909456 in words is "three million, nine hundred nine thousand, four hundred fifty-six".