1824138432 has 168 divisors, whose sum is σ = 5467478016. Its totient is φ = 580898304.

The previous prime is 1824138431. The next prime is 1824138473. The reversal of 1824138432 is 2348314281.

It is a happy number.

1824138432 is a `hidden beast` number, since 1 + 8 + 241 + 384 + 32 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1824138431) 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 23 ways as a sum of consecutive naturals, for example, 1163313 + ... + 1164879.

It is an arithmetic number, because the mean of its divisors is an integer number (32544512).

Almost surely, 2^1824138432 is an apocalyptic number.

1824138432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1824138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733739008).

1824138432 is an abundant number, since it is smaller than the sum of its proper divisors (3643339584).

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

1824138432 is a wasteful number, since it uses less digits than its factorization.

1824138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1824138432 is about 42709.9336454647. The cubic root of 1824138432 is about 1221.8538580530.

The spelling of 1824138432 in words is "one billion, eight hundred twenty-four million, one hundred thirty-eight thousand, four hundred thirty-two".