3835020 has 96 divisors (see below), whose sum is σ = 12837888. Its totient is φ = 836352.

The previous prime is 3835001. The next prime is 3835021. The reversal of 3835020 is 205383.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3835021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9462 + ... + 9858.

It is an arithmetic number, because the mean of its divisors is an integer number (133728).

Almost surely, 2^3835020 is an apocalyptic number.

3835020 is a gapful number since it is divisible by the number (30) 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 3835020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418944).

3835020 is an abundant number, since it is smaller than the sum of its proper divisors (9002868).

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

3835020 is a wasteful number, since it uses less digits than its factorization.

3835020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3835020 is about 1958.3207091792. The cubic root of 3835020 is about 156.5269817756.

The spelling of 3835020 in words is "three million, eight hundred thirty-five thousand, twenty".