34003234204400 has 120 divisors (see below), whose sum is σ = 82648091735664. Its totient is φ = 13443161241600.

The previous prime is 34003234204369. The next prime is 34003234204409. The reversal of 34003234204400 is 440243230043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003234204409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10360532 + ... + 13241868.

Almost surely, 2^{34003234204400} 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 34003234204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41324045867832).

34003234204400 is an abundant number, since it is smaller than the sum of its proper divisors (48644857531264).

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

34003234204400 is a wasteful number, since it uses less digits than its factorization.

34003234204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881699 (or 2881688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34003234204400 its reverse (440243230043), we get a palindrome (34443477434443).

The spelling of 34003234204400 in words is "thirty-four trillion, three billion, two hundred thirty-four million, two hundred four thousand, four hundred".