3282972 has 144 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 760320.

The previous prime is 3282913. The next prime is 3282977. The reversal of 3282972 is 2792823.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12096) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172779 + ... + 172797.

It is an arithmetic number, because the mean of its divisors is an integer number (74480).

Almost surely, 2^3282972 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 3282972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

3282972 is an abundant number, since it is smaller than the sum of its proper divisors (7442148).

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

3282972 is a wasteful number, since it uses less digits than its factorization.

3282972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 3282972 is about 1811.8973480857. The cubic root of 3282972 is about 148.6240390251.

The spelling of 3282972 in words is "three million, two hundred eighty-two thousand, nine hundred seventy-two".