340003332224 has 48 divisors (see below), whose sum is σ = 684464179770. Its totient is φ = 168216920064.

The previous prime is 340003332223. The next prime is 340003332283. The reversal of 340003332224 is 422233300043.

It can be written as a sum of positive squares in 3 ways, for example, as 329889409600 + 10113922624 = 574360^2 + 100568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 340003332193 and 340003332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340003332223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64970312 + ... + 64975544.

Almost surely, 2^340003332224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340003332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342232089885).

340003332224 is an abundant number, since it is smaller than the sum of its proper divisors (344460847546).

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

340003332224 is an frugal number, since it uses more digits than its factorization.

340003332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 340003332224 its reverse (422233300043), we get a palindrome (762236632267).

The spelling of 340003332224 in words is "three hundred forty billion, three million, three hundred thirty-two thousand, two hundred twenty-four".