34401424400 has 240 divisors, whose sum is σ = 102147319296. Its totient is φ = 10864066560.

The previous prime is 34401424381. The next prime is 34401424411. The reversal of 34401424400 is 442410443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34401424400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229512 + ... + 2244888.

Almost surely, 2^34401424400 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 34401424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51073659648).

34401424400 is an abundant number, since it is smaller than the sum of its proper divisors (67745894896).

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

34401424400 is a wasteful number, since it uses less digits than its factorization.

34401424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 34401424400 its reverse (442410443), we get a palindrome (34843834843).

The spelling of 34401424400 in words is "thirty-four billion, four hundred one million, four hundred twenty-four thousand, four hundred".