3713040000 has 480 divisors, whose sum is σ = 13918544640. Its totient is φ = 984960000.

The previous prime is 3713039977. The next prime is 3713040017. The reversal of 3713040000 is 403173.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439905 + ... + 19440095.

It is an arithmetic number, because the mean of its divisors is an integer number (28996968).

Almost surely, 2^3713040000 is an apocalyptic number.

3713040000 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 3713040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959272320).

3713040000 is an abundant number, since it is smaller than the sum of its proper divisors (10205504640).

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

3713040000 is an frugal number, since it uses more digits than its factorization.

3713040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3713040000 is about 60934.7191673187. The cubic root of 3713040000 is about 1548.4952444623.

Adding to 3713040000 its reverse (403173), we get a palindrome (3713443173).

The spelling of 3713040000 in words is "three billion, seven hundred thirteen million, forty thousand".