4575738384 has 480 divisors, whose sum is σ = 16646553600. Its totient is φ = 1195326720.

The previous prime is 4575738383. The next prime is 4575738397. The reversal of 4575738384 is 4838375754.

It is a happy number.

4575738384 is a `hidden beast` number, since 4 + 575 + 7 + 38 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11289600) is a multiple of the sum of its prime factors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 4575738384.

It is not an unprimeable number, because it can be changed into a prime (4575738383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12467769 + ... + 12468135.

It is an arithmetic number, because the mean of its divisors is an integer number (34680320).

Almost surely, 2^4575738384 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 4575738384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323276800).

4575738384 is an abundant number, since it is smaller than the sum of its proper divisors (12070815216).

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

4575738384 is a wasteful number, since it uses less digits than its factorization.

4575738384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 4575738384 is about 67644.2043637147. The cubic root of 4575738384 is about 1660.1744607854.

The spelling of 4575738384 in words is "four billion, five hundred seventy-five million, seven hundred thirty-eight thousand, three hundred eighty-four".