3388752 has 60 divisors (see below), whose sum is σ = 9618804. Its totient is φ = 1113600.

The previous prime is 3388727. The next prime is 3388753. The reversal of 3388752 is 2578833.

3388752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 1245456 = 1464^2 + 1116^2 .

It is a super-2 number, since 2×3388752² = 22967280235008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14428 + ... + 14660.

Almost surely, 2^3388752 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 3388752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809402).

3388752 is an abundant number, since it is smaller than the sum of its proper divisors (6230052).

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

3388752 is a wasteful number, since it uses less digits than its factorization.

3388752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3388752 is about 1840.8563224760. The cubic root of 3388752 is about 150.2034572429.

The spelling of 3388752 in words is "three million, three hundred eighty-eight thousand, seven hundred fifty-two".