3125965500 has 384 divisors, whose sum is σ = 12174489600. Its totient is φ = 676512000.

The previous prime is 3125965499. The next prime is 3125965537. The reversal of 3125965500 is 55695213.

3125965500 is a `hidden beast` number, since 3 + 12 + 5 + 96 + 550 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1794630 + ... + 1796370.

It is an arithmetic number, because the mean of its divisors is an integer number (31704400).

Almost surely, 2^3125965500 is an apocalyptic number.

3125965500 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 3125965500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087244800).

3125965500 is an abundant number, since it is smaller than the sum of its proper divisors (9048524100).

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

3125965500 is a wasteful number, since it uses less digits than its factorization.

3125965500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 3125965500 is about 55910.3344651058. The cubic root of 3125965500 is about 1462.1594210227.

It can be divided in two parts, 312596 and 5500, that added together give a square (318096 = 564²).

The spelling of 3125965500 in words is "three billion, one hundred twenty-five million, nine hundred sixty-five thousand, five hundred".