3688080000 has 480 divisors, whose sum is σ = 13561658880. Its totient is φ = 887040000.

The previous prime is 3688079999. The next prime is 3688080031. The reversal of 3688080000 is 808863.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29039937 + ... + 29040063.

It is an arithmetic number, because the mean of its divisors is an integer number (28253456).

Almost surely, 2^3688080000 is an apocalyptic number.

3688080000 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 3688080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780829440).

3688080000 is an abundant number, since it is smaller than the sum of its proper divisors (9873578880).

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

3688080000 is a wasteful number, since it uses less digits than its factorization.

3688080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3688080000 is about 60729.5644641059. The cubic root of 3688080000 is about 1545.0176472885.

Adding to 3688080000 its reverse (808863), we get a palindrome (3688888863).

The spelling of 3688080000 in words is "three billion, six hundred eighty-eight million, eighty thousand".