3185947968 has 448 divisors, whose sum is σ = 11060582400. Its totient is φ = 787415040.

The previous prime is 3185947967. The next prime is 3185947993. The reversal of 3185947968 is 8697495813.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3185947967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17798503 + ... + 17798681.

It is an arithmetic number, because the mean of its divisors is an integer number (24688800).

Almost surely, 2^3185947968 is an apocalyptic number.

3185947968 is a gapful number since it is divisible by the number (38) 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 3185947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530291200).

3185947968 is an abundant number, since it is smaller than the sum of its proper divisors (7874634432).

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

3185947968 is a wasteful number, since it uses less digits than its factorization.

3185947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The square root of 3185947968 is about 56444.2022531987. The cubic root of 3185947968 is about 1471.4524290527.

The spelling of 3185947968 in words is "three billion, one hundred eighty-five million, nine hundred forty-seven thousand, nine hundred sixty-eight".