3709888000 has 480 divisors, whose sum is σ = 11681841600. Its totient is φ = 1174118400.

The previous prime is 3709887967. The next prime is 3709888001. The reversal of 3709888000 is 8889073.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3709888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285375994 + ... + 285376006.

It is an arithmetic number, because the mean of its divisors is an integer number (24337170).

Almost surely, 2^3709888000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3709888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840920800).

3709888000 is an abundant number, since it is smaller than the sum of its proper divisors (7971953600).

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

3709888000 is an frugal number, since it uses more digits than its factorization.

3709888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 3709888000 is about 60908.8499316807. The cubic root of 3709888000 is about 1548.0569478301.

The spelling of 3709888000 in words is "three billion, seven hundred nine million, eight hundred eighty-eight thousand".