3677440 has 108 divisors (see below), whose sum is σ = 10099404. Its totient is φ = 1277952.

The previous prime is 3677383. The next prime is 3677441. The reversal of 3677440 is 447763.

3677440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 350464 + 3326976 = 592^2 + 1824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216312 + ... + 216328.

It is an arithmetic number, because the mean of its divisors is an integer number (93513).

Almost surely, 2^3677440 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 3677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049702).

3677440 is an abundant number, since it is smaller than the sum of its proper divisors (6421964).

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

3677440 is a wasteful number, since it uses less digits than its factorization.

3677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 3677440 is about 1917.6652471169. The cubic root of 3677440 is about 154.3530439689.

The spelling of 3677440 in words is "three million, six hundred seventy-seven thousand, four hundred forty".