3125693952 has 180 divisors, whose sum is σ = 9525807720. Its totient is φ = 986535936.

The previous prime is 3125693941. The next prime is 3125693957. The reversal of 3125693952 is 2593965213.

3125693952 is a `hidden beast` number, since 3 + 1 + 2 + 569 + 39 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3125693898 and 3125693907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125693957) 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 17 ways as a sum of consecutive naturals, for example, 1662549 + ... + 1664427.

It is an arithmetic number, because the mean of its divisors is an integer number (52921154).

Almost surely, 2^3125693952 is an apocalyptic number.

3125693952 is a gapful number since it is divisible by the number (32) 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 3125693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762903860).

3125693952 is an abundant number, since it is smaller than the sum of its proper divisors (6400113768).

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

3125693952 is a wasteful number, since it uses less digits than its factorization.

3125693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1903 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 3125693952 is about 55907.9059883305. The cubic root of 3125693952 is about 1462.1170812545.

The spelling of 3125693952 in words is "three billion, one hundred twenty-five million, six hundred ninety-three thousand, nine hundred fifty-two".