3756832 has 48 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 1721088.

The previous prime is 3756827. The next prime is 3756833. The reversal of 3756832 is 2386573.

3756832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3756832² = 28227573352448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3756833) 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, 22413 + ... + 22579.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^3756832 is an apocalyptic number.

3756832 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 3756832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

3756832 is an abundant number, since it is smaller than the sum of its proper divisors (4287008).

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

3756832 is a wasteful number, since it uses less digits than its factorization.

3756832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 3756832 is about 1938.2548851996. The cubic root of 3756832 is about 155.4559174471.

The spelling of 3756832 in words is "three million, seven hundred fifty-six thousand, eight hundred thirty-two".