4800038400 has 960 divisors, whose sum is σ = 20093356800. Its totient is φ = 1114767360.

The previous prime is 4800038371. The next prime is 4800038407. The reversal of 4800038400 is 48300084.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800038407) 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, 111628779 + ... + 111628821.

It is an arithmetic number, because the mean of its divisors is an integer number (20930580).

Almost surely, 2^4800038400 is an apocalyptic number.

4800038400 is a gapful number since it is divisible by the number (40) 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 4800038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046678400).

4800038400 is an abundant number, since it is smaller than the sum of its proper divisors (15293318400).

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

4800038400 is a wasteful number, since it uses less digits than its factorization.

4800038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4800038400 is about 69282.3094303300. The cubic root of 4800038400 is about 1686.8698288991.

Adding to 4800038400 its reverse (48300084), we get a palindrome (4848338484).

The spelling of 4800038400 in words is "four billion, eight hundred million, thirty-eight thousand, four hundred".