4434368000 has 160 divisors (see below), whose sum is σ = 11145625920. Its totient is φ = 1759641600.

The previous prime is 4434367979. The next prime is 4434368011. The reversal of 4434368000 is 8634344.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12351821 + ... + 12352179.

It is an arithmetic number, because the mean of its divisors is an integer number (69660162).

Almost surely, 2^4434368000 is an apocalyptic number.

4434368000 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 4434368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572812960).

4434368000 is an abundant number, since it is smaller than the sum of its proper divisors (6711257920).

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

4434368000 is an equidigital number, since it uses as much as digits as its factorization.

4434368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4434368000 is about 66591.0504497414. The cubic root of 4434368000 is about 1642.8979102315.

The spelling of 4434368000 in words is "four billion, four hundred thirty-four million, three hundred sixty-eight thousand".