3383107984 has 60 divisors (see below), whose sum is σ = 7203417300. Its totient is φ = 1537091584.

The previous prime is 3383107963. The next prime is 3383108009. The reversal of 3383107984 is 4897013833.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4243600 + 3378864384 = 2060^2 + 58128^2 .

It is a super-2 number, since 2×3383107984² = 22890839262809088512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121482 + ... + 146710.

It is an arithmetic number, because the mean of its divisors is an integer number (120056955).

Almost surely, 2^3383107984 is an apocalyptic number.

3383107984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383107984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601708650).

3383107984 is an abundant number, since it is smaller than the sum of its proper divisors (3820309316).

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

3383107984 is a wasteful number, since it uses less digits than its factorization.

3383107984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25300 (or 25277 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 3383107984 is about 58164.4907482220. The cubic root of 3383107984 is about 1501.2002222031.

The spelling of 3383107984 in words is "three billion, three hundred eighty-three million, one hundred seven thousand, nine hundred eighty-four".