3382752 has 48 divisors (see below), whose sum is σ = 8975232. Its totient is φ = 1115520.

The previous prime is 3382733. The next prime is 3382759. The reversal of 3382752 is 2572833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3382752² = 22886022187008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382759) 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, 15927 + ... + 16137.

It is an arithmetic number, because the mean of its divisors is an integer number (186984).

Almost surely, 2^3382752 is an apocalyptic number.

3382752 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 3382752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487616).

3382752 is an abundant number, since it is smaller than the sum of its proper divisors (5592480).

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

3382752 is a wasteful number, since it uses less digits than its factorization.

3382752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 3382752 is about 1839.2259241322. The cubic root of 3382752 is about 150.1147566282.

The spelling of 3382752 in words is "three million, three hundred eighty-two thousand, seven hundred fifty-two".