34450224402000 has 640 divisors, whose sum is σ = 126787676640768. Its totient is φ = 7972503552000.

The previous prime is 34450224401993. The next prime is 34450224402029. The reversal of 34450224402000 is 20442205443.

It is a super-2 number, since 2×34450224402000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129292912 + ... + 129559088.

Almost surely, 2^{34450224402000} is an apocalyptic number.

34450224402000 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 34450224402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63393838320384).

34450224402000 is an abundant number, since it is smaller than the sum of its proper divisors (92337452238768).

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

34450224402000 is a wasteful number, since it uses less digits than its factorization.

34450224402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266304 (or 266288 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 34450224402000 its reverse (20442205443), we get a palindrome (34470666607443).

The spelling of 34450224402000 in words is "thirty-four trillion, four hundred fifty billion, two hundred twenty-four million, four hundred two thousand".