3785400 has 96 divisors (see below), whose sum is σ = 13057200. Its totient is φ = 1008000.

The previous prime is 3785393. The next prime is 3785401. The reversal of 3785400 is 45873.

3785400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785401) 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 23 ways as a sum of consecutive naturals, for example, 5050 + ... + 5750.

Almost surely, 2^3785400 is an apocalyptic number.

3785400 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 3785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528600).

3785400 is an abundant number, since it is smaller than the sum of its proper divisors (9271800).

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

3785400 is a wasteful number, since it uses less digits than its factorization.

3785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3785400 is about 1945.6104440509. The cubic root of 3785400 is about 155.8489662476.

It can be divided in two parts, 378 and 5400, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 3785400 in words is "three million, seven hundred eighty-five thousand, four hundred".