3785408 has 56 divisors (see below), whose sum is σ = 8656320. Its totient is φ = 1624320.

The previous prime is 3785401. The next prime is 3785417. The reversal of 3785408 is 8045873.

It is not an unprimeable number, because it can be changed into a prime (3785401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13235 + ... + 13517.

Almost surely, 2^3785408 is an apocalyptic number.

3785408 is a gapful number since it is divisible by the number (38) 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 3785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328160).

3785408 is an abundant number, since it is smaller than the sum of its proper divisors (4870912).

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

3785408 is a wasteful number, since it uses less digits than its factorization.

3785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

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

The square root of 3785408 is about 1945.6124999598. The cubic root of 3785408 is about 155.8490760371.

The spelling of 3785408 in words is "three million, seven hundred eighty-five thousand, four hundred eight".