34104420434400 has 72 divisors (see below), whose sum is σ = 111009888521784. Its totient is φ = 9094512115200.

The previous prime is 34104420434333. The next prime is 34104420434401. The reversal of 34104420434400 is 443402440143.

It is a super-2 number, since 2×34104420434400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34104420434401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7105085191 + ... + 7105089990.

It is an arithmetic number, because the mean of its divisors is an integer number (1541804007247).

Almost surely, 2^{34104420434400} is an apocalyptic number.

34104420434400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34104420434400 is an abundant number, since it is smaller than the sum of its proper divisors (76905468087384).

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

34104420434400 is a wasteful number, since it uses less digits than its factorization.

34104420434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14210175204 (or 14210175191 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 34104420434400 its reverse (443402440143), we get a palindrome (34547822874543).

The spelling of 34104420434400 in words is "thirty-four trillion, one hundred four billion, four hundred twenty million, four hundred thirty-four thousand, four hundred".