3953456 has 40 divisors (see below), whose sum is σ = 8384880. Its totient is φ = 1794816.

The previous prime is 3953437. The next prime is 3953473. The reversal of 3953456 is 6543593.

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, 17150 + ... + 17378.

It is an arithmetic number, because the mean of its divisors is an integer number (209622).

Almost surely, 2^3953456 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 3953456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192440).

3953456 is an abundant number, since it is smaller than the sum of its proper divisors (4431424).

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

3953456 is a wasteful number, since it uses less digits than its factorization.

3953456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 48600, while the sum is 35.

The square root of 3953456 is about 1988.3299524978. The cubic root of 3953456 is about 158.1220015887.

The spelling of 3953456 in words is "three million, nine hundred fifty-three thousand, four hundred fifty-six".