34053311230400 has 336 divisors, whose sum is σ = 104574275008512. Its totient is φ = 10603270656000.

The previous prime is 34053311230369. The next prime is 34053311230441. The reversal of 34053311230400 is 403211335043.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 121951742 + ... + 122230658.

Almost surely, 2^{34053311230400} 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 34053311230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52287137504256).

34053311230400 is an abundant number, since it is smaller than the sum of its proper divisors (70520963778112).

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

34053311230400 is a wasteful number, since it uses less digits than its factorization.

34053311230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279948 (or 279933 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 34053311230400 its reverse (403211335043), we get a palindrome (34456522565443).

The spelling of 34053311230400 in words is "thirty-four trillion, fifty-three billion, three hundred eleven million, two hundred thirty thousand, four hundred".