3835500 has 48 divisors (see below), whose sum is σ = 11173344. Its totient is φ = 1022400.

The previous prime is 3835487. The next prime is 3835501. The reversal of 3835500 is 55383.

3835500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3835500² = 29422120500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3835501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (232778).

Almost surely, 2^3835500 is an apocalyptic number.

3835500 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 3835500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586672).

3835500 is an abundant number, since it is smaller than the sum of its proper divisors (7337844).

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

3835500 is a wasteful number, since it uses less digits than its factorization.

3835500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3835500 is about 1958.4432593261. The cubic root of 3835500 is about 156.5335119298.

The spelling of 3835500 in words is "three million, eight hundred thirty-five thousand, five hundred".