3149073984 has 336 divisors, whose sum is σ = 10377830400. Its totient is φ = 837817344.

The previous prime is 3149073979. The next prime is 3149074001. The reversal of 3149073984 is 4893709413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14121297 + ... + 14121519.

It is an arithmetic number, because the mean of its divisors is an integer number (30886400).

Almost surely, 2^3149073984 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 3149073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188915200).

3149073984 is an abundant number, since it is smaller than the sum of its proper divisors (7228756416).

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

3149073984 is a wasteful number, since it uses less digits than its factorization.

3149073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3149073984 is about 56116.6105890226. The cubic root of 3149073984 is about 1465.7535499037.

The spelling of 3149073984 in words is "three billion, one hundred forty-nine million, seventy-three thousand, nine hundred eighty-four".