3382456 has 96 divisors (see below), whose sum is σ = 8841600. Its totient is φ = 1175040.

The previous prime is 3382453. The next prime is 3382493. The reversal of 3382456 is 6542833.

3382456 = 8² + 9² + ... + 216².

It is a super-2 number, since 2×3382456² = 22882017183872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178015 + ... + 178033.

It is an arithmetic number, because the mean of its divisors is an integer number (92100).

Almost surely, 2^3382456 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 3382456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420800).

3382456 is an abundant number, since it is smaller than the sum of its proper divisors (5459144).

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

3382456 is a wasteful number, since it uses less digits than its factorization.

3382456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 3382456 is about 1839.1454537366. The cubic root of 3382456 is about 150.1103780173.

The spelling of 3382456 in words is "three million, three hundred eighty-two thousand, four hundred fifty-six".