3835540 has 48 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 1390592.

The previous prime is 3835519. The next prime is 3835547. The reversal of 3835540 is 455383.

It can be written as a sum of positive squares in 8 ways, for example, as 9604 + 3825936 = 98^2 + 1956^2 .

It is a super-2 number, since 2×3835540² = 29422734183200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3835499 and 3835508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9666 + ... + 10054.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^3835540 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 3835540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

3835540 is an abundant number, since it is smaller than the sum of its proper divisors (5009660).

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

3835540 is a wasteful number, since it uses less digits than its factorization.

3835540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 3835540 is about 1958.4534714922. The cubic root of 3835540 is about 156.5340560848.

The spelling of 3835540 in words is "three million, eight hundred thirty-five thousand, five hundred forty".