534144384 has 96 divisors (see below), whose sum is σ = 1586744640. Its totient is φ = 172293120.

The previous prime is 534144379. The next prime is 534144407. The reversal of 534144384 is 483441435.

534144384 is a `hidden beast` number, since 534 + 1 + 4 + 43 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 28234 + ... + 43190.

It is an arithmetic number, because the mean of its divisors is an integer number (16528590).

Almost surely, 2^534144384 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 534144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793372320).

534144384 is an abundant number, since it is smaller than the sum of its proper divisors (1052600256).

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

534144384 is a wasteful number, since it uses less digits than its factorization.

534144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15008 (or 14993 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 534144384 is about 23111.5638588132. The cubic root of 534144384 is about 811.3711390378.

The spelling of 534144384 in words is "five hundred thirty-four million, one hundred forty-four thousand, three hundred eighty-four".