3626880 has 64 divisors (see below), whose sum is σ = 11566800. Its totient is φ = 966656.

The previous prime is 3626873. The next prime is 3626881. The reversal of 3626880 is 886263.

3626880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 976 + ... + 2864.

Almost surely, 2^3626880 is an apocalyptic number.

3626880 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 3626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783400).

3626880 is an abundant number, since it is smaller than the sum of its proper divisors (7939920).

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

3626880 is a wasteful number, since it uses less digits than its factorization.

3626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3626880 is about 1904.4369246578. The cubic root of 3626880 is about 153.6423928126.

The spelling of 3626880 in words is "three million, six hundred twenty-six thousand, eight hundred eighty".