3837952 has 26 divisors (see below), whose sum is σ = 7683158. Its totient is φ = 1916928.

The previous prime is 3837949. The next prime is 3837979. The reversal of 3837952 is 2597383.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 1478656 = 1536^2 + 1216^2 .

It is a nialpdrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3628 + ... + 4564.

Almost surely, 2^3837952 is an apocalyptic number.

3837952 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 3837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841579).

3837952 is an abundant number, since it is smaller than the sum of its proper divisors (3845206).

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

3837952 is an frugal number, since it uses more digits than its factorization.

3837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 939 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 3837952 is about 1959.0691667218. The cubic root of 3837952 is about 156.5668616373.

The spelling of 3837952 in words is "three million, eight hundred thirty-seven thousand, nine hundred fifty-two".