3454301224000 has 336 divisors, whose sum is σ = 9431757382320. Its totient is φ = 1252263936000.

The previous prime is 3454301223973. The next prime is 3454301224027. The reversal of 3454301224000 is 4221034543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3454301223973) and next prime (3454301224027).

It can be written as a sum of positive squares in 8 ways, for example, as 2224083064896 + 1230218159104 = 1491336^2 + 1109152^2 .

It is a super-2 number, since 2×3454301224000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3454301224000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326210706 + ... + 326221294.

It is an arithmetic number, because the mean of its divisors is an integer number (28070706495).

Almost surely, 2^{3454301224000} 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 3454301224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715878691160).

3454301224000 is an abundant number, since it is smaller than the sum of its proper divisors (5977456158320).

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

3454301224000 is a wasteful number, since it uses less digits than its factorization.

3454301224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10975 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 3454301224000 its reverse (4221034543), we get a palindrome (3458522258543).

The spelling of 3454301224000 in words is "three trillion, four hundred fifty-four billion, three hundred one million, two hundred twenty-four thousand".