3283632 has 80 divisors (see below), whose sum is σ = 10296960. Its totient is φ = 993600.

The previous prime is 3283627. The next prime is 3283633. The reversal of 3283632 is 2363823.

3283632 is a `hidden beast` number, since 3 + 28 + 3 + 632 = 666.

It is a super-2 number, since 2×3283632² = 21564478222848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3283596 and 3283605.

It is not an unprimeable number, because it can be changed into a prime (3283633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4407 + ... + 5097.

It is an arithmetic number, because the mean of its divisors is an integer number (128712).

Almost surely, 2^3283632 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 3283632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148480).

3283632 is an abundant number, since it is smaller than the sum of its proper divisors (7013328).

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

3283632 is a wasteful number, since it uses less digits than its factorization.

3283632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3283632 is about 1812.0794684561. The cubic root of 3283632 is about 148.6339980188.

The spelling of 3283632 in words is "three million, two hundred eighty-three thousand, six hundred thirty-two".