339828128640 has 1536 divisors, whose sum is σ = 1668728355840. Its totient is φ = 61329899520.

The previous prime is 339828128617. The next prime is 339828128671. The reversal of 339828128640 is 46821828933.

339828128640 is a `hidden beast` number, since 339 + 8 + 28 + 1 + 286 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98016187 + ... + 98019653.

It is an arithmetic number, because the mean of its divisors is an integer number (1086411690).

Almost surely, 2^339828128640 is an apocalyptic number.

339828128640 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 339828128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834364177920).

339828128640 is an abundant number, since it is smaller than the sum of its proper divisors (1328900227200).

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

339828128640 is a wasteful number, since it uses less digits than its factorization.

339828128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 339828128640 in words is "three hundred thirty-nine billion, eight hundred twenty-eight million, one hundred twenty-eight thousand, six hundred forty".