4358638080 has 160 divisors (see below), whose sum is σ = 15482491200. Its totient is φ = 1162285056.

The previous prime is 4358638051. The next prime is 4358638087. The reversal of 4358638080 is 808368534.

4358638080 is a `hidden beast` number, since 4 + 3 + 5 + 8 + 638 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4358638087) 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 15 ways as a sum of consecutive naturals, for example, 37591 + ... + 100649.

It is an arithmetic number, because the mean of its divisors is an integer number (96765570).

Almost surely, 2^4358638080 is an apocalyptic number.

4358638080 is a gapful number since it is divisible by the number (40) 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 4358638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741245600).

4358638080 is an abundant number, since it is smaller than the sum of its proper divisors (11123853120).

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

4358638080 is an equidigital number, since it uses as much as digits as its factorization.

4358638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63091 (or 63069 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4358638080 is about 66019.9824295645. The cubic root of 4358638080 is about 1633.4917156794.

The spelling of 4358638080 in words is "four billion, three hundred fifty-eight million, six hundred thirty-eight thousand, eighty".