339729728640 has 256 divisors, whose sum is σ = 1114066586880. Its totient is φ = 88019582976.

The previous prime is 339729728629. The next prime is 339729728647. The reversal of 339729728640 is 46827927933.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (339729728647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10465074 + ... + 10497486.

It is an arithmetic number, because the mean of its divisors is an integer number (4351822605).

Almost surely, 2^339729728640 is an apocalyptic number.

339729728640 is a gapful number since it is divisible by the number (30) 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 339729728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557033293440).

339729728640 is an abundant number, since it is smaller than the sum of its proper divisors (774336858240).

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

339729728640 is a wasteful number, since it uses less digits than its factorization.

339729728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32591 (or 32579 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 339729728640 in words is "three hundred thirty-nine billion, seven hundred twenty-nine million, seven hundred twenty-eight thousand, six hundred forty".