3132050688 has 216 divisors, whose sum is σ = 9913641192. Its totient is φ = 945045504.

The previous prime is 3132050681. The next prime is 3132050699. The reversal of 3132050688 is 8860502313.

It can be written as a sum of positive squares in 4 ways, for example, as 79709184 + 3052341504 = 8928^2 + 55248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132050681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586470 + ... + 1588442.

It is an arithmetic number, because the mean of its divisors is an integer number (45896487).

Almost surely, 2^3132050688 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 3132050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956820596).

3132050688 is an abundant number, since it is smaller than the sum of its proper divisors (6781590504).

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

3132050688 is a wasteful number, since it uses less digits than its factorization.

3132050688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3132050688 is about 55964.7271770354. The cubic root of 3132050688 is about 1463.1075811697.

The spelling of 3132050688 in words is "three billion, one hundred thirty-two million, fifty thousand, six hundred eighty-eight".