339085827100384 has 576 divisors, whose sum is σ = 899246898639936. Its totient is φ = 124303112994816.

The previous prime is 339085827100381. The next prime is 339085827100403. The reversal of 339085827100384 is 483001728580933.

It is a super-2 number, since 2×339085827100384² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339085827100381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8427194314 + ... + 8427234550.

It is an arithmetic number, because the mean of its divisors is an integer number (1561192532361).

Almost surely, 2^{339085827100384} is an apocalyptic number.

339085827100384 is a gapful number since it is divisible by the number (34) 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 339085827100384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449623449319968).

339085827100384 is an abundant number, since it is smaller than the sum of its proper divisors (560161071539552).

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

339085827100384 is a wasteful number, since it uses less digits than its factorization.

339085827100384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40667 (or 40652 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 339085827100384 in words is "three hundred thirty-nine trillion, eighty-five billion, eight hundred twenty-seven million, one hundred thousand, three hundred eighty-four".