3287952 has 100 divisors (see below), whose sum is σ = 9902640. Its totient is φ = 1052352.

The previous prime is 3287941. The next prime is 3287957. The reversal of 3287952 is 2597823.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3287957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55699 + ... + 55757.

Almost surely, 2^3287952 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 3287952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951320).

3287952 is an abundant number, since it is smaller than the sum of its proper divisors (6614688).

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

3287952 is a wasteful number, since it uses less digits than its factorization.

3287952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3287952 is about 1813.2710773627. The cubic root of 3287952 is about 148.6991512284.

The spelling of 3287952 in words is "three million, two hundred eighty-seven thousand, nine hundred fifty-two".