3720640 has 112 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 1152000.

The previous prime is 3720623. The next prime is 3720649. The reversal of 3720640 is 460273.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720649) 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, 24565 + ... + 24715.

Almost surely, 2^3720640 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 3720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3720640 is an abundant number, since it is smaller than the sum of its proper divisors (7398464).

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

3720640 is a wasteful number, since it uses less digits than its factorization.

3720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3720640 is about 1928.8960573343. The cubic root of 3720640 is about 154.9551031950.

The spelling of 3720640 in words is "three million, seven hundred twenty thousand, six hundred forty".