3380498784 has 288 divisors, whose sum is σ = 11105325504. Its totient is φ = 967127040.

The previous prime is 3380498743. The next prime is 3380498801. The reversal of 3380498784 is 4878940833.

3380498784 is a `hidden beast` number, since 3 + 3 + 80 + 498 + 78 + 4 = 666.

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

It is a super-2 number, since 2×3380498784² = 22855544057250957312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3380498784.

It is a congruent number.

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, 3185614 + ... + 3186674.

It is an arithmetic number, because the mean of its divisors is an integer number (38560158).

Almost surely, 2^3380498784 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 3380498784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552662752).

3380498784 is an abundant number, since it is smaller than the sum of its proper divisors (7724826720).

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

3380498784 is a wasteful number, since it uses less digits than its factorization.

3380498784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3380498784 is about 58142.0569295583. The cubic root of 3380498784 is about 1500.8141926469.

The spelling of 3380498784 in words is "three billion, three hundred eighty million, four hundred ninety-eight thousand, seven hundred eighty-four".