3132640720 has 80 divisors (see below), whose sum is σ = 8046270720. Its totient is φ = 1124697600.

The previous prime is 3132640703. The next prime is 3132640723. The reversal of 3132640720 is 270462313.

3132640720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132640723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46990 + ... + 92050.

It is an arithmetic number, because the mean of its divisors is an integer number (100578384).

Almost surely, 2^3132640720 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 3132640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023135360).

3132640720 is an abundant number, since it is smaller than the sum of its proper divisors (4913630000).

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

3132640720 is a wasteful number, since it uses less digits than its factorization.

3132640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45164 (or 45158 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3132640720 is about 55969.9983919957. The cubic root of 3132640720 is about 1463.1994513398.

The spelling of 3132640720 in words is "three billion, one hundred thirty-two million, six hundred forty thousand, seven hundred twenty".