4738253184 has 384 divisors, whose sum is σ = 16573939200. Its totient is φ = 1270038528.

The previous prime is 4738253183. The next prime is 4738253203. The reversal of 4738253184 is 4813528374.

4738253184 is a `hidden beast` number, since 4 + 7 + 38 + 2 + 531 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4738253184² = 44902086471372275712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738253183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10942632 + ... + 10943064.

It is an arithmetic number, because the mean of its divisors is an integer number (43161300).

Almost surely, 2^4738253184 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 4738253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

4738253184 is an abundant number, since it is smaller than the sum of its proper divisors (11835686016).

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

4738253184 is a wasteful number, since it uses less digits than its factorization.

4738253184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

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

The square root of 4738253184 is about 68834.9706471936. The cubic root of 4738253184 is about 1679.6008575583.

The spelling of 4738253184 in words is "four billion, seven hundred thirty-eight million, two hundred fifty-three thousand, one hundred eighty-four".