3644320080 has 160 divisors (see below), whose sum is σ = 11927629440. Its totient is φ = 917913600.

The previous prime is 3644320067. The next prime is 3644320087. The reversal of 3644320080 is 800234463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644320087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827564 + ... + 1829556.

It is an arithmetic number, because the mean of its divisors is an integer number (74547684).

Almost surely, 2^3644320080 is an apocalyptic number.

3644320080 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 3644320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963814720).

3644320080 is an abundant number, since it is smaller than the sum of its proper divisors (8283309360).

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

3644320080 is a wasteful number, since it uses less digits than its factorization.

3644320080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3644320080 is about 60368.2042138078. The cubic root of 3644320080 is about 1538.8826549601.

The spelling of 3644320080 in words is "three billion, six hundred forty-four million, three hundred twenty thousand, eighty".