34423404400 has 360 divisors, whose sum is σ = 106634282112. Its totient is φ = 10374336000.

The previous prime is 34423404383. The next prime is 34423404439. The reversal of 34423404400 is 440432443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29598219 + ... + 29599381.

Almost surely, 2^34423404400 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 34423404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317141056).

34423404400 is an abundant number, since it is smaller than the sum of its proper divisors (72210877712).

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

34423404400 is a wasteful number, since it uses less digits than its factorization.

34423404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 34423404400 its reverse (440432443), we get a palindrome (34863836843).

The spelling of 34423404400 in words is "thirty-four billion, four hundred twenty-three million, four hundred four thousand, four hundred".