3833680 has 40 divisors (see below), whose sum is σ = 8997192. Its totient is φ = 1519104.

The previous prime is 3833651. The next prime is 3833699. The reversal of 3833680 is 863383.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 3297856 = 732^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13702 + ... + 13978.

Almost surely, 2^3833680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498596).

3833680 is an abundant number, since it is smaller than the sum of its proper divisors (5163512).

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

3833680 is a wasteful number, since it uses less digits than its factorization.

3833680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3833680 is about 1957.9785494228. The cubic root of 3833680 is about 156.5087488772.

It can be divided in two parts, 38336 and 80, that added together give a 4-th power (38416 = 14⁴).

The spelling of 3833680 in words is "three million, eight hundred thirty-three thousand, six hundred eighty".