3720960000 has 720 divisors, whose sum is σ = 14967552600. Its totient is φ = 884736000.

The previous prime is 3720959933. The next prime is 3720960007. The reversal of 3720960000 is 690273.

3720960000 is a `hidden beast` number, since 37 + 20 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195839991 + ... + 195840009.

Almost surely, 2^3720960000 is an apocalyptic number.

3720960000 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 3720960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483776300).

3720960000 is an abundant number, since it is smaller than the sum of its proper divisors (11246592600).

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

3720960000 is a wasteful number, since it uses less digits than its factorization.

3720960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3720960000 is about 60999.6721302664. The cubic root of 3720960000 is about 1549.5954546044.

The spelling of 3720960000 in words is "three billion, seven hundred twenty million, nine hundred sixty thousand".