3146934336 has 448 divisors, whose sum is σ = 11011424256. Its totient is φ = 770457600.

The previous prime is 3146934331. The next prime is 3146934347. The reversal of 3146934336 is 6334396413.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3146934331) 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 63 ways as a sum of consecutive naturals, for example, 16476001 + ... + 16476191.

It is an arithmetic number, because the mean of its divisors is an integer number (24579072).

Almost surely, 2^3146934336 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 3146934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505712128).

3146934336 is an abundant number, since it is smaller than the sum of its proper divisors (7864489920).

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

3146934336 is a wasteful number, since it uses less digits than its factorization.

3146934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its digits is 419904, while the sum is 42.

The square root of 3146934336 is about 56097.5430478020. The cubic root of 3146934336 is about 1465.4215044373.

The spelling of 3146934336 in words is "three billion, one hundred forty-six million, nine hundred thirty-four thousand, three hundred thirty-six".