3438585984 has 64 divisors (see below), whose sum is σ = 9169547040. Its totient is φ = 1141702656.

The previous prime is 3438585977. The next prime is 3438585989. The reversal of 3438585984 is 4895858343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3438585984² = 23647747138722496512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3438585989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81267 + ... + 116109.

Almost surely, 2^3438585984 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 3438585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584773520).

3438585984 is an abundant number, since it is smaller than the sum of its proper divisors (5730961056).

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

3438585984 is a wasteful number, since it uses less digits than its factorization.

3438585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35117 (or 35105 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 57.

The square root of 3438585984 is about 58639.4575691147. The cubic root of 3438585984 is about 1509.3615978869.

The spelling of 3438585984 in words is "three billion, four hundred thirty-eight million, five hundred eighty-five thousand, nine hundred eighty-four".