3930240000 has 440 divisors, whose sum is σ = 13812828480. Its totient is φ = 991232000.

The previous prime is 3930239933. The next prime is 3930240001. The reversal of 3930240000 is 420393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930240001) 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 39 ways as a sum of consecutive naturals, for example, 44159956 + ... + 44160044.

It is an arithmetic number, because the mean of its divisors is an integer number (31392792).

Almost surely, 2^3930240000 is an apocalyptic number.

3930240000 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 3930240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906414240).

3930240000 is an abundant number, since it is smaller than the sum of its proper divisors (9882588480).

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

3930240000 is an equidigital number, since it uses as much as digits as its factorization.

3930240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3930240000 is about 62691.6262350882. The cubic root of 3930240000 is about 1578.1187886564.

Adding to 3930240000 its reverse (420393), we get a palindrome (3930660393).

The spelling of 3930240000 in words is "three billion, nine hundred thirty million, two hundred forty thousand".