34204102400 has 432 divisors, whose sum is σ = 96274754688. Its totient is φ = 11943936000.

The previous prime is 34204102349. The next prime is 34204102421. The reversal of 34204102400 is 420140243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126214265 + ... + 126214535.

Almost surely, 2^34204102400 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 34204102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48137377344).

34204102400 is an abundant number, since it is smaller than the sum of its proper divisors (62070652288).

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

34204102400 is a wasteful number, since it uses less digits than its factorization.

34204102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34204102400 its reverse (420140243), we get a palindrome (34624242643).

The spelling of 34204102400 in words is "thirty-four billion, two hundred four million, one hundred two thousand, four hundred".