3835400 has 48 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 1512000.

The previous prime is 3835399. The next prime is 3835439. The reversal of 3835400 is 45383.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25325 + ... + 25475.

It is an arithmetic number, because the mean of its divisors is an integer number (188480).

Almost surely, 2^3835400 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 3835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

3835400 is an abundant number, since it is smaller than the sum of its proper divisors (5211640).

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

3835400 is a wasteful number, since it uses less digits than its factorization.

3835400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3835400 is about 1958.4177286779. The cubic root of 3835400 is about 156.5321515260.

The spelling of 3835400 in words is "three million, eight hundred thirty-five thousand, four hundred".