3833136 has 80 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 1207872.

The previous prime is 3833129. The next prime is 3833153. The reversal of 3833136 is 6313383.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7975 + ... + 8441.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 2^3833136 is an apocalyptic number.

3833136 is a gapful number since it is divisible by the number (36) 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 3833136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

3833136 is an abundant number, since it is smaller than the sum of its proper divisors (7773264).

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

3833136 is a wasteful number, since it uses less digits than its factorization.

3833136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3833136 is about 1957.8396257099. The cubic root of 3833136 is about 156.5013456522.

It can be divided in two parts, 3833 and 136, that added together give a square (3969 = 63²).

The spelling of 3833136 in words is "three million, eight hundred thirty-three thousand, one hundred thirty-six".