3349776384 has 288 divisors, whose sum is σ = 10302888960. Its totient is φ = 1086898176.

The previous prime is 3349776371. The next prime is 3349776413. The reversal of 3349776384 is 4836779433.

It is a happy number.

3349776384 is a `hidden beast` number, since 3 + 3 + 497 + 76 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3349776384² = 22442003645608230912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3349776384.

It is a congruent number.

It is an unprimeable number.

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, 26376129 + ... + 26376255.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 2^3349776384 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 3349776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).

3349776384 is an abundant number, since it is smaller than the sum of its proper divisors (6953112576).

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

3349776384 is an equidigital number, since it uses as much as digits as its factorization.

3349776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 3349776384 is about 57877.2527336950. The cubic root of 3349776384 is about 1496.2538198783.

The spelling of 3349776384 in words is "three billion, three hundred forty-nine million, seven hundred seventy-six thousand, three hundred eighty-four".