3730224000 has 128 divisors (see below), whose sum is σ = 12365851680. Its totient is φ = 994713600.

The previous prime is 3730223989. The next prime is 3730224037. The reversal of 3730224000 is 4220373.

It is a happy number.

3730224000 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9144 + ... + 86856.

Almost surely, 2^3730224000 is an apocalyptic number.

3730224000 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 3730224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182925840).

3730224000 is an abundant number, since it is smaller than the sum of its proper divisors (8635627680).

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

3730224000 is an equidigital number, since it uses as much as digits as its factorization.

3730224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77745 (or 77723 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3730224000 is about 61075.5597600218. The cubic root of 3730224000 is about 1550.8803878159.

Adding to 3730224000 its reverse (4220373), we get a palindrome (3734444373).

The spelling of 3730224000 in words is "three billion, seven hundred thirty million, two hundred twenty-four thousand".