3837132 has 60 divisors (see below), whose sum is σ = 10814496. Its totient is φ = 1179360.

The previous prime is 3837131. The next prime is 3837133. The reversal of 3837132 is 2317383.

3837132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3837131) and next prime (3837133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3837096 and 3837105.

It is not an unprimeable number, because it can be changed into a prime (3837131) 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 19 ways as a sum of consecutive naturals, for example, 3757 + ... + 4667.

Almost surely, 2^3837132 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 3837132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407248).

3837132 is an abundant number, since it is smaller than the sum of its proper divisors (6977364).

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

3837132 is a wasteful number, since it uses less digits than its factorization.

3837132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3837132 is about 1958.8598724768. The cubic root of 3837132 is about 156.5557103800. Note that the first 3 decimals are identical.

It can be divided in two parts, 3837 and 132, that added together give a square (3969 = 63²).

The spelling of 3837132 in words is "three million, eight hundred thirty-seven thousand, one hundred thirty-two".