3640144 has 40 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1708800.

The previous prime is 3640121. The next prime is 3640151. The reversal of 3640144 is 4410463.

3640144 = T₂₃₂ + T₂₃₃ + ... + T₃₂₄.

It is a happy number.

3640144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20247 + ... + 20425.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^3640144 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 3640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

3640144 is an abundant number, since it is smaller than the sum of its proper divisors (3859376).

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

3640144 is a wasteful number, since it uses less digits than its factorization.

3640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3640144 is about 1907.9161407148. The cubic root of 3640144 is about 153.8294620865.

The spelling of 3640144 in words is "three million, six hundred forty thousand, one hundred forty-four".