4338561024 has 624 divisors, whose sum is σ = 16192230912. Its totient is φ = 1089994752.

The previous prime is 4338560987. The next prime is 4338561049. The reversal of 4338561024 is 4201658334.

4338561024 is a `hidden beast` number, since 4 + 3 + 38 + 5 + 610 + 2 + 4 = 666.

It is a super-2 number, since 2×4338561024² = 37646223517943857152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4338561024.

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, 100896747 + ... + 100896789.

It is an arithmetic number, because the mean of its divisors is an integer number (25949088).

Almost surely, 2^4338561024 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 4338561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096115456).

4338561024 is an abundant number, since it is smaller than the sum of its proper divisors (11853669888).

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

4338561024 is a wasteful number, since it uses less digits than its factorization.

4338561024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4338561024 is about 65867.7540531025. The cubic root of 4338561024 is about 1630.9797544828.

The spelling of 4338561024 in words is "four billion, three hundred thirty-eight million, five hundred sixty-one thousand, twenty-four".