339220224000 has 2304 divisors, whose sum is σ = 1562604825600. Its totient is φ = 71663616000.

The previous prime is 339220223917. The next prime is 339220224011. The reversal of 339220224000 is 422022933.

339220224000 is a `hidden beast` number, since 3 + 39 + 220 + 2 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×339220224000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8273663980 + ... + 8273664020.

It is an arithmetic number, because the mean of its divisors is an integer number (678213900).

Almost surely, 2^339220224000 is an apocalyptic number.

339220224000 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 339220224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781302412800).

339220224000 is an abundant number, since it is smaller than the sum of its proper divisors (1223384601600).

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

339220224000 is an equidigital number, since it uses as much as digits as its factorization.

339220224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 339220224000 its reverse (422022933), we get a palindrome (339642246933).

The spelling of 339220224000 in words is "three hundred thirty-nine billion, two hundred twenty million, two hundred twenty-four thousand".