3125952000 has 560 divisors, whose sum is σ = 11861218512. Its totient is φ = 821145600.

The previous prime is 3125951989. The next prime is 3125952007. The reversal of 3125952000 is 2595213.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125952007) 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 55 ways as a sum of consecutive naturals, for example, 46655967 + ... + 46656033.

Almost surely, 2^3125952000 is an apocalyptic number.

3125952000 is a gapful number since it is divisible by the number (30) 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 3125952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930609256).

3125952000 is an abundant number, since it is smaller than the sum of its proper divisors (8735266512).

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

3125952000 is an frugal number, since it uses more digits than its factorization.

3125952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 3125952000 is about 55910.2137359535. The cubic root of 3125952000 is about 1462.1573161604.

The spelling of 3125952000 in words is "three billion, one hundred twenty-five million, nine hundred fifty-two thousand".