34410323200400 has 120 divisors (see below), whose sum is σ = 94840161043584. Its totient is φ = 11752966195200.

The previous prime is 34410323200321. The next prime is 34410323200423. The reversal of 34410323200400 is 400232301443.

It is a self number, because there is not a number n which added to its sum of digits gives 34410323200400.

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 23 ways as a sum of consecutive naturals, for example, 22627481 + ... + 24100280.

Almost surely, 2^{34410323200400} is an apocalyptic number.

It is an amenable number.

34410323200400 is an abundant number, since it is smaller than the sum of its proper divisors (60429837843184).

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

34410323200400 is a wasteful number, since it uses less digits than its factorization.

34410323200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46728049 (or 46728038 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34410323200400 its reverse (400232301443), we get a palindrome (34810555501843).

The spelling of 34410323200400 in words is "thirty-four trillion, four hundred ten billion, three hundred twenty-three million, two hundred thousand, four hundred".