3286752 has 96 divisors (see below), whose sum is σ = 10144512. Its totient is φ = 912384.

The previous prime is 3286739. The next prime is 3286771. The reversal of 3286752 is 2576823.

3286752 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (20160) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44988 + ... + 45060.

It is an arithmetic number, because the mean of its divisors is an integer number (105672).

Almost surely, 2^3286752 is an apocalyptic number.

3286752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072256).

3286752 is an abundant number, since it is smaller than the sum of its proper divisors (6857760).

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

3286752 is a wasteful number, since it uses less digits than its factorization.

3286752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3286752 is about 1812.9401534524. The cubic root of 3286752 is about 148.6810588420.

The spelling of 3286752 in words is "three million, two hundred eighty-six thousand, seven hundred fifty-two".