3900780288 has 288 divisors, whose sum is σ = 12384187200. Its totient is φ = 1206779904.

The previous prime is 3900780281. The next prime is 3900780311. The reversal of 3900780288 is 8820870093.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900780281) 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 31 ways as a sum of consecutive naturals, for example, 10457670 + ... + 10458042.

It is an arithmetic number, because the mean of its divisors is an integer number (43000650).

Almost surely, 2^3900780288 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 3900780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192093600).

3900780288 is an abundant number, since it is smaller than the sum of its proper divisors (8483406912).

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

3900780288 is a wasteful number, since it uses less digits than its factorization.

3900780288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 3900780288 is about 62456.2269753785. The cubic root of 3900780288 is about 1574.1658857718.

The spelling of 3900780288 in words is "three billion, nine hundred million, seven hundred eighty thousand, two hundred eighty-eight".