3785840 has 40 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 1472256.

The previous prime is 3785819. The next prime is 3785851. The reversal of 3785840 is 485873.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3785840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2321 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (226176).

Almost surely, 2^3785840 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 3785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

3785840 is an abundant number, since it is smaller than the sum of its proper divisors (5261200).

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

3785840 is a wasteful number, since it uses less digits than its factorization.

3785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 3785840 is about 1945.7235158162. The cubic root of 3785840 is about 155.8550044372.

The spelling of 3785840 in words is "three million, seven hundred eighty-five thousand, eight hundred forty".