3414883984 has 40 divisors (see below), whose sum is σ = 6990624000. Its totient is φ = 1611524736.

The previous prime is 3414883931. The next prime is 3414884017. The reversal of 3414883984 is 4893884143.

It is a super-2 number, since 2×3414883984² = 23322865248359424512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60897 + ... + 102655.

It is an arithmetic number, because the mean of its divisors is an integer number (174765600).

Almost surely, 2^3414883984 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 3414883984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495312000).

3414883984 is an abundant number, since it is smaller than the sum of its proper divisors (3575740016).

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

3414883984 is a wasteful number, since it uses less digits than its factorization.

3414883984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42055 (or 42049 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The square root of 3414883984 is about 58437.0086845656. The cubic root of 3414883984 is about 1505.8856145270.

The spelling of 3414883984 in words is "three billion, four hundred fourteen million, eight hundred eighty-three thousand, nine hundred eighty-four".