3668390880 has 432 divisors, whose sum is σ = 14786588880. Its totient is φ = 761671680.

The previous prime is 3668390861. The next prime is 3668390941. The reversal of 3668390880 is 880938663.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2845276 + ... + 2846564.

It is an arithmetic number, because the mean of its divisors is an integer number (34228215).

Almost surely, 2^3668390880 is an apocalyptic number.

3668390880 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 3668390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393294440).

3668390880 is an abundant number, since it is smaller than the sum of its proper divisors (11118198000).

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

3668390880 is a wasteful number, since it uses less digits than its factorization.

3668390880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3668390880 is about 60567.2426316404. The cubic root of 3668390880 is about 1542.2633386074.

The spelling of 3668390880 in words is "three billion, six hundred sixty-eight million, three hundred ninety thousand, eight hundred eighty".