34440421033200 has 960 divisors, whose sum is σ = 146830162268160. Its totient is φ = 6693576376320.

The previous prime is 34440421033199. The next prime is 34440421033201. The reversal of 34440421033200 is 233012404443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34440421033199) and next prime (34440421033201).

It is a super-2 number, since 2×34440421033200² (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 not an unprimeable number, because it can be changed into a prime (34440421033201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87053436 + ... + 87448164.

It is an arithmetic number, because the mean of its divisors is an integer number (152948085696).

Almost surely, 2^{34440421033200} is an apocalyptic number.

34440421033200 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 34440421033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73415081134080).

34440421033200 is an abundant number, since it is smaller than the sum of its proper divisors (112389741234960).

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

34440421033200 is a wasteful number, since it uses less digits than its factorization.

34440421033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394834 (or 394823 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34440421033200 its reverse (233012404443), we get a palindrome (34673433437643).

The spelling of 34440421033200 in words is "thirty-four trillion, four hundred forty billion, four hundred twenty-one million, thirty-three thousand, two hundred".