5035950304 has 288 divisors, whose sum is σ = 13458493440. Its totient is φ = 1844156160.

The previous prime is 5035950287. The next prime is 5035950319. The reversal of 5035950304 is 4030595305.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5035950304.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39653089 + ... + 39653215.

It is an arithmetic number, because the mean of its divisors is an integer number (46730880).

Almost surely, 2^5035950304 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 5035950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729246720).

5035950304 is an abundant number, since it is smaller than the sum of its proper divisors (8422543136).

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

5035950304 is a wasteful number, since it uses less digits than its factorization.

5035950304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 5035950304 is about 70964.4298504540. The cubic root of 5035950304 is about 1714.0644404453.

The spelling of 5035950304 in words is "five billion, thirty-five million, nine hundred fifty thousand, three hundred four".