3234384384 has 640 divisors, whose sum is σ = 11879239680. Its totient is φ = 756940800.

The previous prime is 3234384379. The next prime is 3234384397. The reversal of 3234384384 is 4834834323.

It is a super-2 number, since 2×3234384384² = 20922484686926118912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78887404 + ... + 78887444.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^3234384384 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 3234384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

3234384384 is an abundant number, since it is smaller than the sum of its proper divisors (8644855296).

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

3234384384 is a wasteful number, since it uses less digits than its factorization.

3234384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The square root of 3234384384 is about 56871.6483320116. The cubic root of 3234384384 is about 1478.8718551558.

The spelling of 3234384384 in words is "three billion, two hundred thirty-four million, three hundred eighty-four thousand, three hundred eighty-four".