5034385400 has 192 divisors, whose sum is σ = 13067913600. Its totient is φ = 1788480000.

The previous prime is 5034385397. The next prime is 5034385403. The reversal of 5034385400 is 45834305.

It is an interprime number because it is at equal distance from previous prime (5034385397) and next prime (5034385403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034385403) 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, 30885719 + ... + 30885881.

It is an arithmetic number, because the mean of its divisors is an integer number (68062050).

Almost surely, 2^5034385400 is an apocalyptic number.

5034385400 is a gapful number since it is divisible by the number (50) 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 5034385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533956800).

5034385400 is an abundant number, since it is smaller than the sum of its proper divisors (8033528200).

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

5034385400 is a wasteful number, since it uses less digits than its factorization.

5034385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 5034385400 is about 70953.4030191646. The cubic root of 5034385400 is about 1713.8868755351.

The spelling of 5034385400 in words is "five billion, thirty-four million, three hundred eighty-five thousand, four hundred".