34404206400340 has 48 divisors (see below), whose sum is σ = 82581712617600. Its totient is φ = 11794068300672.

The previous prime is 34404206400329. The next prime is 34404206400341. The reversal of 34404206400340 is 4300460240443.

It is a junction number, because it is equal to n+sod(n) for n = 34404206400296 and 34404206400305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404206400341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16288770 + ... + 18279289.

It is an arithmetic number, because the mean of its divisors is an integer number (1720452346200).

Almost surely, 2^{34404206400340} is an apocalyptic number.

It is an amenable number.

34404206400340 is an abundant number, since it is smaller than the sum of its proper divisors (48177506217260).

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

34404206400340 is a wasteful number, since it uses less digits than its factorization.

34404206400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34575184 (or 34575182 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34404206400340 its reverse (4300460240443), we get a palindrome (38704666640783).

The spelling of 34404206400340 in words is "thirty-four trillion, four hundred four billion, two hundred six million, four hundred thousand, three hundred forty".