4338838120 has 96 divisors (see below), whose sum is σ = 10337249160. Its totient is φ = 1637990400.

The previous prime is 4338838109. The next prime is 4338838121. The reversal of 4338838120 is 218388334.

It can be written as a sum of positive squares in 4 ways, for example, as 3389335524 + 949502596 = 58218^2 + 30814^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4338838121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574664 + ... + 1577416.

Almost surely, 2^4338838120 is an apocalyptic number.

4338838120 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 4338838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168624580).

4338838120 is an abundant number, since it is smaller than the sum of its proper divisors (5998411040).

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

4338838120 is a wasteful number, since it uses less digits than its factorization.

4338838120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 4338838120 is about 65869.8574463312. The cubic root of 4338838120 is about 1631.0144763136.

The spelling of 4338838120 in words is "four billion, three hundred thirty-eight million, eight hundred thirty-eight thousand, one hundred twenty".