3685440 has 112 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 890880.

The previous prime is 3685427. The next prime is 3685441. The reversal of 3685440 is 445863.

3685440 is digitally balanced in base 5, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 3685398 and 3685407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10386 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (114300).

Almost surely, 2^3685440 is an apocalyptic number.

3685440 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 3685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

3685440 is an abundant number, since it is smaller than the sum of its proper divisors (9116160).

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

3685440 is a wasteful number, since it uses less digits than its factorization.

3685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3685440 is about 1919.7499837218. The cubic root of 3685440 is about 154.4648907979.

The spelling of 3685440 in words is "three million, six hundred eighty-five thousand, four hundred forty".