3584880 has 120 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 880128.

The previous prime is 3584873. The next prime is 3584921. The reversal of 3584880 is 884853.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3584880² = 25702729228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9169 + ... + 9551.

Almost surely, 2^3584880 is an apocalyptic number.

3584880 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 3584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3584880 is an abundant number, since it is smaller than the sum of its proper divisors (9414288).

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

3584880 is a wasteful number, since it uses less digits than its factorization.

3584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3584880 is about 1893.3779337470. The cubic root of 3584880 is about 153.0470187415.

The spelling of 3584880 in words is "three million, five hundred eighty-four thousand, eight hundred eighty".