4638291372 has 144 divisors (see below), whose sum is σ = 14008700160. Its totient is φ = 1275350400.

The previous prime is 4638291341. The next prime is 4638291379. The reversal of 4638291372 is 2731928364.

4638291372 is a `hidden beast` number, since 4 + 638 + 2 + 9 + 1 + 3 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4638291379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296097 + ... + 311367.

It is an arithmetic number, because the mean of its divisors is an integer number (97282640).

Almost surely, 2^4638291372 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 4638291372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004350080).

4638291372 is an abundant number, since it is smaller than the sum of its proper divisors (9370408788).

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

4638291372 is a wasteful number, since it uses less digits than its factorization.

4638291372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15364 (or 15359 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4638291372 is about 68105.0025475368. The cubic root of 4638291372 is about 1667.7054282013.

The spelling of 4638291372 in words is "four billion, six hundred thirty-eight million, two hundred ninety-one thousand, three hundred seventy-two".