3718224000 has 640 divisors, whose sum is σ = 14632675200. Its totient is φ = 933120000.

The previous prime is 3718223983. The next prime is 3718224011. The reversal of 3718224000 is 4228173.

3718224000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24623925 + ... + 24624075.

It is an arithmetic number, because the mean of its divisors is an integer number (22863555).

Almost surely, 2^3718224000 is an apocalyptic number.

3718224000 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 3718224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316337600).

3718224000 is an abundant number, since it is smaller than the sum of its proper divisors (10914451200).

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

3718224000 is a wasteful number, since it uses less digits than its factorization.

3718224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3718224000 is about 60977.2416562114. The cubic root of 3718224000 is about 1549.2155586699.

The spelling of 3718224000 in words is "three billion, seven hundred eighteen million, two hundred twenty-four thousand".