3837632 has 28 divisors (see below), whose sum is σ = 7748016. Its totient is φ = 1885440.

The previous prime is 3837629. The next prime is 3837643. The reversal of 3837632 is 2367383.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3³ + 8⁵ + 3⁸ + 7² + 6⁸ + 3¹³ + 2¹⁹ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3413 + ... + 4395.

Almost surely, 2^3837632 is an apocalyptic number.

3837632 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 3837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874008).

3837632 is an abundant number, since it is smaller than the sum of its proper divisors (3910384).

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

3837632 is an equidigital number, since it uses as much as digits as its factorization.

3837632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 3837632 is about 1958.9874935793. The cubic root of 3837632 is about 156.5625101162.

The spelling of 3837632 in words is "three million, eight hundred thirty-seven thousand, six hundred thirty-two".