3627680 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1198080.

The previous prime is 3627677. The next prime is 3627683. The reversal of 3627680 is 867263.

3627680 = T₄₀₀ + T₄₀₁ + ... + T₄₄₀.

3627680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3627677) and next prime (3627683).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3627683) 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 15 ways as a sum of consecutive naturals, for example, 45881 + ... + 45959.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3627680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3627680 is an abundant number, since it is smaller than the sum of its proper divisors (6532960).

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

3627680 is a wasteful number, since it uses less digits than its factorization.

3627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3627680 is about 1904.6469489121. The cubic root of 3627680 is about 153.6536885524.

The spelling of 3627680 in words is "three million, six hundred twenty-seven thousand, six hundred eighty".