3835960 has 32 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 1496320.

The previous prime is 3835957. The next prime is 3835969. The reversal of 3835960 is 695383.

It is a super-3 number, since 3×3835960³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 3² + 8⁷ + 3¹⁰ + 5³ + 9 + 6⁸ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471 + ... + 2809.

Almost surely, 2^3835960 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 3835960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

3835960 is an abundant number, since it is smaller than the sum of its proper divisors (5009240).

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

3835960 is a wasteful number, since it uses less digits than its factorization.

3835960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3835960 is about 1958.5606960214. The cubic root of 3835960 is about 156.5397694831.

The spelling of 3835960 in words is "three million, eight hundred thirty-five thousand, nine hundred sixty".