3152071728 has 360 divisors, whose sum is σ = 10672955280. Its totient is φ = 862617600.

The previous prime is 3152071721. The next prime is 3152071729. The reversal of 3152071728 is 8271702513.

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

It is a junction number, because it is equal to n+sod(n) for n = 3152071692 and 3152071701.

It is not an unprimeable number, because it can be changed into a prime (3152071721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7860328 + ... + 7860728.

It is an arithmetic number, because the mean of its divisors is an integer number (29647098).

Almost surely, 2^3152071728 is an apocalyptic number.

3152071728 is a gapful number since it is divisible by the number (38) 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 3152071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336477640).

3152071728 is an abundant number, since it is smaller than the sum of its proper divisors (7520883552).

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

3152071728 is a wasteful number, since it uses less digits than its factorization.

3152071728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 3152071728 is about 56143.3141878888. The cubic root of 3152071728 is about 1466.2185077932.

The spelling of 3152071728 in words is "three billion, one hundred fifty-two million, seventy-one thousand, seven hundred twenty-eight".