3697040 has 40 divisors (see below), whose sum is σ = 8835000. Its totient is φ = 1437696.

The previous prime is 3697037. The next prime is 3697049. The reversal of 3697040 is 407963.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 2835856 = 928^2 + 1684^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3696994 and 3697012.

It is not an unprimeable number, because it can be changed into a prime (3697049) 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, 2336 + ... + 3584.

It is an arithmetic number, because the mean of its divisors is an integer number (220875).

Almost surely, 2^3697040 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 3697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417500).

3697040 is an abundant number, since it is smaller than the sum of its proper divisors (5137960).

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

3697040 is a wasteful number, since it uses less digits than its factorization.

3697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3697040 is about 1922.7688368600. The cubic root of 3697040 is about 154.6267815637.

The spelling of 3697040 in words is "three million, six hundred ninety-seven thousand, forty".