3125000320 has 128 divisors (see below), whose sum is σ = 8242501680. Its totient is φ = 1125580800.

The previous prime is 3125000273. The next prime is 3125000321. The reversal of 3125000320 is 230005213.

It can be written as a sum of positive squares in 8 ways, for example, as 71774784 + 3053225536 = 8472^2 + 55256^2 .

It is a sliding number, since 3125000320 = 320 + 3125000000 and 1/320 + 1/3125000000 = 0.003125000320.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3125000294 and 3125000303.

It is not an unprimeable number, because it can be changed into a prime (3125000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336540 + ... + 345700.

Almost surely, 2^3125000320 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 3125000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121250840).

3125000320 is an abundant number, since it is smaller than the sum of its proper divisors (5117501360).

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

3125000320 is a wasteful number, since it uses less digits than its factorization.

3125000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3125000320 is about 55901.7022996617. The cubic root of 3125000320 is about 1462.0089190097.

Adding to 3125000320 its reverse (230005213), we get a palindrome (3355005533).

It can be divided in two parts, 3125000 and 320, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 3125000320 in words is "three billion, one hundred twenty-five million, three hundred twenty", and thus it is an aban number.