729838944 has 192 divisors, whose sum is σ = 2339366400. Its totient is φ = 220340736.

The previous prime is 729838937. The next prime is 729838979. The reversal of 729838944 is 449838927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376602 + ... + 378534.

It is an arithmetic number, because the mean of its divisors is an integer number (12184200).

Almost surely, 2^729838944 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 729838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169683200).

729838944 is an abundant number, since it is smaller than the sum of its proper divisors (1609527456).

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

729838944 is a wasteful number, since it uses less digits than its factorization.

729838944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1980 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 729838944 is about 27015.5315328053. The cubic root of 729838944 is about 900.3451120916.

The spelling of 729838944 in words is "seven hundred twenty-nine million, eight hundred thirty-eight thousand, nine hundred forty-four".