4338482736 has 240 divisors, whose sum is σ = 13579607040. Its totient is φ = 1188794880.

The previous prime is 4338482717. The next prime is 4338482741. The reversal of 4338482736 is 6372848334.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

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, 11446995 + ... + 11447373.

It is an arithmetic number, because the mean of its divisors is an integer number (56581696).

Almost surely, 2^4338482736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338482736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789803520).

4338482736 is an abundant number, since it is smaller than the sum of its proper divisors (9241124304).

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

4338482736 is a wasteful number, since it uses less digits than its factorization.

4338482736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 579 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 4338482736 is about 65867.1597687345. The cubic root of 4338482736 is about 1630.9699442477.

The spelling of 4338482736 in words is "four billion, three hundred thirty-eight million, four hundred eighty-two thousand, seven hundred thirty-six".