5340432384 has 504 divisors, whose sum is σ = 18879072030. Its totient is φ = 1504935936.

The previous prime is 5340432367. The next prime is 5340432421. The reversal of 5340432384 is 4832340435.

5340432384 is a `hidden beast` number, since 534 + 0 + 43 + 2 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4425974784 + 914457600 = 66528^2 + 30240^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 73156572 + ... + 73156644.

Almost surely, 2^5340432384 is an apocalyptic number.

5340432384 is a gapful number since it is divisible by the number (54) 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 5340432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439536015).

5340432384 is an abundant number, since it is smaller than the sum of its proper divisors (13538639646).

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

5340432384 is an frugal number, since it uses more digits than its factorization.

5340432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5340432384 is about 73078.2620483000. The cubic root of 5340432384 is about 1747.9357847757.

The spelling of 5340432384 in words is "five billion, three hundred forty million, four hundred thirty-two thousand, three hundred eighty-four".