4338385920 has 528 divisors, whose sum is σ = 17059992768. Its totient is φ = 1048412160.

The previous prime is 4338385871. The next prime is 4338385937. The reversal of 4338385920 is 295838334.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13685602 + ... + 13685918.

Almost surely, 2^4338385920 is an apocalyptic number.

4338385920 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 4338385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529996384).

4338385920 is an abundant number, since it is smaller than the sum of its proper divisors (12721606848).

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

4338385920 is a wasteful number, since it uses less digits than its factorization.

4338385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4338385920 is about 65866.4248308651. The cubic root of 4338385920 is about 1630.9578121138.

The spelling of 4338385920 in words is "four billion, three hundred thirty-eight million, three hundred eighty-five thousand, nine hundred twenty".