3646080 has 128 divisors (see below), whose sum is σ = 12974400. Its totient is φ = 967680.

The previous prime is 3646079. The next prime is 3646103. The reversal of 3646080 is 806463.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17175 + ... + 17385.

Almost surely, 2^3646080 is an apocalyptic number.

3646080 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 3646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487200).

3646080 is an abundant number, since it is smaller than the sum of its proper divisors (9328320).

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

3646080 is a wasteful number, since it uses less digits than its factorization.

3646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3646080 is about 1909.4711309679. The cubic root of 3646080 is about 153.9130334861.

The spelling of 3646080 in words is "three million, six hundred forty-six thousand, eighty".