3668508000 has 288 divisors, whose sum is σ = 13114719072. Its totient is φ = 971136000.

The previous prime is 3668507993. The next prime is 3668508023. The reversal of 3668508000 is 8058663.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 6515719 + ... + 6516281.

It is an arithmetic number, because the mean of its divisors is an integer number (45537219).

Almost surely, 2^3668508000 is an apocalyptic number.

3668508000 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 3668508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557359536).

3668508000 is an abundant number, since it is smaller than the sum of its proper divisors (9446211072).

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

3668508000 is a wasteful number, since it uses less digits than its factorization.

3668508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3668508000 is about 60568.2094831934. The cubic root of 3668508000 is about 1542.2797516130.

The spelling of 3668508000 in words is "three billion, six hundred sixty-eight million, five hundred eight thousand".