3669840 has 80 divisors (see below), whose sum is σ = 12648000. Its totient is φ = 978048.

The previous prime is 3669839. The next prime is 3669847. The reversal of 3669840 is 489663.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3669795 and 3669804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669847) 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, 1311 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

Almost surely, 2^3669840 is an apocalyptic number.

3669840 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 3669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324000).

3669840 is an abundant number, since it is smaller than the sum of its proper divisors (8978160).

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

3669840 is a wasteful number, since it uses less digits than its factorization.

3669840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3669840 is about 1915.6826459516. The cubic root of 3669840 is about 154.2466391345.

The spelling of 3669840 in words is "three million, six hundred sixty-nine thousand, eight hundred forty".