3125032000 has 112 divisors (see below), whose sum is σ = 7764005808. Its totient is φ = 1246003200.

The previous prime is 3125031997. The next prime is 3125032003. The reversal of 3125032000 is 2305213.

It is an interprime number because it is at equal distance from previous prime (3125031997) and next prime (3125032003).

It can be written as a sum of positive squares in 8 ways, for example, as 31002624 + 3094029376 = 5568^2 + 55624^2 .

It is a sliding number, since 3125032000 = 32000 + 3125000000 and 1/32000 + 1/3125000000 = 0.00003125032000.

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

It is not an unprimeable number, because it can be changed into a prime (3125032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4615662 + ... + 4616338.

Almost surely, 2^3125032000 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 3125032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882002904).

3125032000 is an abundant number, since it is smaller than the sum of its proper divisors (4638973808).

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

3125032000 is an equidigital number, since it uses as much as digits as its factorization.

3125032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1261 counting only the distinct ones).

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

The square root of 3125032000 is about 55901.9856534632. The cubic root of 3125032000 is about 1462.0138594130.

Adding to 3125032000 its reverse (2305213), we get a palindrome (3127337213).

It can be divided in two parts, 31250 and 32000, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 3125032000 in words is "three billion, one hundred twenty-five million, thirty-two thousand".