3838752 has 60 divisors (see below), whose sum is σ = 11297286. Its totient is φ = 1278720.

The previous prime is 3838729. The next prime is 3838771. The reversal of 3838752 is 2578383.

It can be written as a sum of positive squares in only one way, i.e., 3370896 + 467856 = 1836^2 + 684^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1852 + ... + 3332.

Almost surely, 2^3838752 is an apocalyptic number.

3838752 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 3838752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648643).

3838752 is an abundant number, since it is smaller than the sum of its proper divisors (7458534).

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

3838752 is a wasteful number, since it uses less digits than its factorization.

3838752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1486 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3838752 is about 1959.2733346830. The cubic root of 3838752 is about 156.5777393822.

The spelling of 3838752 in words is "three million, eight hundred thirty-eight thousand, seven hundred fifty-two".