3322752 has 64 divisors (see below), whose sum is σ = 9363600. Its totient is φ = 1040384.

The previous prime is 3322747. The next prime is 3322757. The reversal of 3322752 is 2572233.

It is an interprime number because it is at equal distance from previous prime (3322747) and next prime (3322757).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3322752³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3¹³ + 3¹³ + 2³ + 2¹⁶ + 7⁴ + 5⁴ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6274 + ... + 6782.

Almost surely, 2^3322752 is an apocalyptic number.

3322752 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 3322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681800).

3322752 is an abundant number, since it is smaller than the sum of its proper divisors (6040848).

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

3322752 is a wasteful number, since it uses less digits than its factorization.

3322752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 3322752 is about 1822.8417375077. The cubic root of 3322752 is about 149.2219265453.

Adding to 3322752 its reverse (2572233), we get a palindrome (5894985).

It can be divided in two parts, 3 and 322752, that multiplied together give a square (968256 = 984²).

The spelling of 3322752 in words is "three million, three hundred twenty-two thousand, seven hundred fifty-two".