4538806272 has 832 divisors, whose sum is σ = 18494622720. Its totient is φ = 1061683200.

The previous prime is 4538806271. The next prime is 4538806289. The reversal of 4538806272 is 2726088354.

It is a tau number, because it is divible by the number of its divisors (832).

It is not an unprimeable number, because it can be changed into a prime (4538806271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110702572 + ... + 110702612.

Almost surely, 2^4538806272 is an apocalyptic number.

4538806272 is a gapful number since it is divisible by the number (42) 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 4538806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247311360).

4538806272 is an abundant number, since it is smaller than the sum of its proper divisors (13955816448).

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

4538806272 is a wasteful number, since it uses less digits than its factorization.

4538806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4538806272 is about 67370.6632890014. The cubic root of 4538806272 is about 1655.6958063394.

The spelling of 4538806272 in words is "four billion, five hundred thirty-eight million, eight hundred six thousand, two hundred seventy-two".