4341484224 has 448 divisors, whose sum is σ = 16183173120. Its totient is φ = 1108546560.

The previous prime is 4341484181. The next prime is 4341484243. The reversal of 4341484224 is 4224841434.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 8914509 + ... + 8914995.

Almost surely, 2^4341484224 is an apocalyptic number.

4341484224 is a gapful number since it is divisible by the number (44) 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 4341484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091586560).

4341484224 is an abundant number, since it is smaller than the sum of its proper divisors (11841688896).

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

4341484224 is a wasteful number, since it uses less digits than its factorization.

4341484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 4341484224 is about 65889.9402336958. The cubic root of 4341484224 is about 1631.3459749583.

The spelling of 4341484224 in words is "four billion, three hundred forty-one million, four hundred eighty-four thousand, two hundred twenty-four".