339166904832 has 960 divisors, whose sum is σ = 1249628054400. Its totient is φ = 90546978816.

The previous prime is 339166904809. The next prime is 339166904861. The reversal of 339166904832 is 238409661933.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4646121948 + ... + 4646122020.

It is an arithmetic number, because the mean of its divisors is an integer number (1301695890).

Almost surely, 2^339166904832 is an apocalyptic number.

339166904832 is a gapful number since it is divisible by the number (32) 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 339166904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624814027200).

339166904832 is an abundant number, since it is smaller than the sum of its proper divisors (910461149568).

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

339166904832 is an frugal number, since it uses more digits than its factorization.

339166904832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 339166904832 in words is "three hundred thirty-nine billion, one hundred sixty-six million, nine hundred four thousand, eight hundred thirty-two".