3685408 has 36 divisors (see below), whose sum is σ = 7575498. Its totient is φ = 1763840.

The previous prime is 3685403. The next prime is 3685417. The reversal of 3685408 is 8045863.

It can be written as a sum of positive squares in 3 ways, for example, as 2999824 + 685584 = 1732^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (3685403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69510 + ... + 69562.

Almost surely, 2^3685408 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 3685408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787749).

3685408 is an abundant number, since it is smaller than the sum of its proper divisors (3890090).

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

3685408 is an equidigital number, since it uses as much as digits as its factorization.

3685408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3685408 is about 1919.7416492851. The cubic root of 3685408 is about 154.4644437332.

It can be divided in two parts, 368 and 5408, that added together give a square (5776 = 76²).

The spelling of 3685408 in words is "three million, six hundred eighty-five thousand, four hundred eight".