3238449984 has 840 divisors, whose sum is σ = 13033674720. Its totient is φ = 783820800.

The previous prime is 3238449983. The next prime is 3238450027. The reversal of 3238449984 is 4899448323.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3238449984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238449983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53089314 + ... + 53089374.

Almost surely, 2^3238449984 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 3238449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516837360).

3238449984 is an abundant number, since it is smaller than the sum of its proper divisors (9795224736).

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

3238449984 is a wasteful number, since it uses less digits than its factorization.

3238449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3238449984 is about 56907.3807515335. The cubic root of 3238449984 is about 1479.4912397881.

The spelling of 3238449984 in words is "three billion, two hundred thirty-eight million, four hundred forty-nine thousand, nine hundred eighty-four".