3883536 has 60 divisors (see below), whose sum is σ = 11001900. Its totient is φ = 1278720.

The previous prime is 3883519. The next prime is 3883541. The reversal of 3883536 is 6353883.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 3686400 = 444^2 + 1920^2 .

It is a super-3 number, since 3×3883536³ (a number of 21 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3883536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21366 + ... + 21546.

It is an arithmetic number, because the mean of its divisors is an integer number (183365).

Almost surely, 2^3883536 is an apocalyptic number.

3883536 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 3883536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500950).

3883536 is an abundant number, since it is smaller than the sum of its proper divisors (7118364).

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

3883536 is a wasteful number, since it uses less digits than its factorization.

3883536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3883536 is about 1970.6689219653. The cubic root of 3883536 is about 157.1842806184.

The spelling of 3883536 in words is "three million, eight hundred eighty-three thousand, five hundred thirty-six".