3152638720 has 288 divisors, whose sum is σ = 9748408320. Its totient is φ = 947896320.

The previous prime is 3152638673. The next prime is 3152638747. The reversal of 3152638720 is 278362513.

3152638720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3152638720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857689 + ... + 2858791.

It is an arithmetic number, because the mean of its divisors is an integer number (33848640).

Almost surely, 2^3152638720 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 3152638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874204160).

3152638720 is an abundant number, since it is smaller than the sum of its proper divisors (6595769600).

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

3152638720 is a wasteful number, since it uses less digits than its factorization.

3152638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3152638720 is about 56148.3634668011. The cubic root of 3152638720 is about 1466.3064165713.

The spelling of 3152638720 in words is "three billion, one hundred fifty-two million, six hundred thirty-eight thousand, seven hundred twenty".