3125985408 has 192 divisors, whose sum is σ = 11071569600. Its totient is φ = 824408064.

The previous prime is 3125985403. The next prime is 3125985437. The reversal of 3125985408 is 8045895213.

3125985408 is a `hidden beast` number, since 3 + 1 + 2 + 598 + 54 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3125985403) 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 23 ways as a sum of consecutive naturals, for example, 89923 + ... + 119741.

It is an arithmetic number, because the mean of its divisors is an integer number (57664425).

Almost surely, 2^3125985408 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 3125985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535784800).

3125985408 is an abundant number, since it is smaller than the sum of its proper divisors (7945584192).

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

3125985408 is a wasteful number, since it uses less digits than its factorization.

3125985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29859 (or 29844 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 3125985408 is about 55910.5124998868. The cubic root of 3125985408 is about 1462.1625249819.

The spelling of 3125985408 in words is "three billion, one hundred twenty-five million, nine hundred eighty-five thousand, four hundred eight".