3383097984 has 288 divisors, whose sum is σ = 11493754740. Its totient is φ = 952197120.

The previous prime is 3383097967. The next prime is 3383098001. The reversal of 3383097984 is 4897903833.

It is an interprime number because it is at equal distance from previous prime (3383097967) and next prime (3383098001).

It can be written as a sum of positive squares in 2 ways, for example, as 3359361600 + 23736384 = 57960^2 + 4872^2 .

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

It is a super-2 number, since 2×3383097984² = 22890703938689728512, 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 3383097984.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4120294 + ... + 4121114.

Almost surely, 2^3383097984 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 3383097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746877370).

3383097984 is an abundant number, since it is smaller than the sum of its proper divisors (8110656756).

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

3383097984 is a wasteful number, since it uses less digits than its factorization.

3383097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3383097984 is about 58164.4047850573. The cubic root of 3383097984 is about 1501.1987430881.

The spelling of 3383097984 in words is "three billion, three hundred eighty-three million, ninety-seven thousand, nine hundred eighty-four".