3835800 has 72 divisors (see below), whose sum is σ = 12887940. Its totient is φ = 1022400.

The previous prime is 3835771. The next prime is 3835831. The reversal of 3835800 is 85383.

3835800 is a `hidden beast` number, since 3 + 83 + 580 + 0 = 666.

3835800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 735 + ... + 2865.

Almost surely, 2^3835800 is an apocalyptic number.

3835800 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 3835800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443970).

3835800 is an abundant number, since it is smaller than the sum of its proper divisors (9052140).

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

3835800 is a wasteful number, since it uses less digits than its factorization.

3835800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3835800 is about 1958.5198492739. The cubic root of 3835800 is about 156.5375929996.

The spelling of 3835800 in words is "three million, eight hundred thirty-five thousand, eight hundred".