3836352 has 112 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1118208.

The previous prime is 3836341. The next prime is 3836359. The reversal of 3836352 is 2536383.

It is a d-powerful number, because it can be written as 3² + 8³ + 3² + 6⁸ + 3¹⁰ + 5 + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72358 + ... + 72410.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

Almost surely, 2^3836352 is an apocalyptic number.

3836352 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 3836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

3836352 is an abundant number, since it is smaller than the sum of its proper divisors (7685088).

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

3836352 is a wasteful number, since it uses less digits than its factorization.

3836352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 3836352 is about 1958.6607669528. The cubic root of 3836352 is about 156.5451016120.

It can be divided in two parts, 3 and 836352, that multiplied together give a square (2509056 = 1584²).

The spelling of 3836352 in words is "three million, eight hundred thirty-six thousand, three hundred fifty-two".