34403324212400 has 480 divisors, whose sum is σ = 98268670402560. Its totient is φ = 11409937920000.

The previous prime is 34403324212399. The next prime is 34403324212409. The reversal of 34403324212400 is 421242330443.

It is not an unprimeable number, because it can be changed into a prime (34403324212409) 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 95 ways as a sum of consecutive naturals, for example, 2905925681 + ... + 2905937519.

It is an arithmetic number, because the mean of its divisors is an integer number (204726396672).

Almost surely, 2^{34403324212400} 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 34403324212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49134335201280).

34403324212400 is an abundant number, since it is smaller than the sum of its proper divisors (63865346190160).

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

34403324212400 is a wasteful number, since it uses less digits than its factorization.

34403324212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34403324212400 its reverse (421242330443), we get a palindrome (34824566542843).

The spelling of 34403324212400 in words is "thirty-four trillion, four hundred three billion, three hundred twenty-four million, two hundred twelve thousand, four hundred".