3582752 has 24 divisors (see below), whose sum is σ = 7128576. Its totient is φ = 1772352.

The previous prime is 3582749. The next prime is 3582757. The reversal of 3582752 is 2572853.

It is a super-2 number, since 2×3582752² = 25672223787008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3¹³ + 5³ + 8 + 2 + 7⁴ + 5⁹ + 2¹⁵ .

Its product of digits (16800) is a multiple of the sum of its prime factors (1200).

It is not an unprimeable number, because it can be changed into a prime (3582757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2753 + ... + 3839.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 2^3582752 is an apocalyptic number.

3582752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3582752 is a deficient number, since it is larger than the sum of its proper divisors (3545824).

3582752 is a wasteful number, since it uses less digits than its factorization.

3582752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 3582752 is about 1892.8158917338. The cubic root of 3582752 is about 153.0167296272.

It can be divided in two parts, 3582 and 752, that added together give a palindrome (4334).

The spelling of 3582752 in words is "three million, five hundred eighty-two thousand, seven hundred fifty-two".