4338938448 has 240 divisors, whose sum is σ = 13640615040. Its totient is φ = 1319804928.

The previous prime is 4338938423. The next prime is 4338938491. The reversal of 4338938448 is 8448398334.

4338938448 is a `hidden beast` number, since 433 + 8 + 93 + 84 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4338938394 and 4338938403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7519536 + ... + 7520112.

It is an arithmetic number, because the mean of its divisors is an integer number (56835896).

Almost surely, 2^4338938448 is an apocalyptic number.

4338938448 is a gapful number since it is divisible by the number (48) 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 4338938448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820307520).

4338938448 is an abundant number, since it is smaller than the sum of its proper divisors (9301676592).

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

4338938448 is a wasteful number, since it uses less digits than its factorization.

4338938448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 698 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 4338938448 is about 65870.6190042268. The cubic root of 4338938448 is about 1631.0270476637.

The spelling of 4338938448 in words is "four billion, three hundred thirty-eight million, nine hundred thirty-eight thousand, four hundred forty-eight".