3581880 has 64 divisors (see below), whose sum is σ = 11318400. Its totient is φ = 904320.

The previous prime is 3581873. The next prime is 3581881. The reversal of 3581880 is 881853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 3065.

It is an arithmetic number, because the mean of its divisors is an integer number (176850).

Almost surely, 2^3581880 is an apocalyptic number.

3581880 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 3581880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659200).

3581880 is an abundant number, since it is smaller than the sum of its proper divisors (7736520).

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

3581880 is a wasteful number, since it uses less digits than its factorization.

3581880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 3581880 is about 1892.5855330737. The cubic root of 3581880 is about 153.0043144582.

The spelling of 3581880 in words is "three million, five hundred eighty-one thousand, eight hundred eighty".