3659040 has 288 divisors, whose sum is σ = 16087680. Its totient is φ = 760320.

The previous prime is 3659011. The next prime is 3659069. The reversal of 3659040 is 409563.

It is a happy number.

3659040 is a `hidden beast` number, since 3 + 659 + 0 + 4 + 0 = 666.

3659040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3659011) and next prime (3659069).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3658995 and 3659013.

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 47 ways as a sum of consecutive naturals, for example, 332635 + ... + 332645.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

Almost surely, 2^3659040 is an apocalyptic number.

3659040 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 3659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

3659040 is an abundant number, since it is smaller than the sum of its proper divisors (12428640).

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

3659040 is a wasteful number, since it uses less digits than its factorization.

3659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3659040 is about 1912.8617304970. The cubic root of 3659040 is about 154.0951792579.

The spelling of 3659040 in words is "three million, six hundred fifty-nine thousand, forty".