34431404102304 has 48 divisors (see below), whose sum is σ = 98599020841440. Its totient is φ = 10433758818560.

The previous prime is 34431404102219. The next prime is 34431404102309. The reversal of 34431404102304 is 40320140413443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34431404102309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16302747099 + ... + 16302749210.

It is an arithmetic number, because the mean of its divisors is an integer number (2054146267530).

Almost surely, 2^{34431404102304} is an apocalyptic number.

It is an amenable number.

34431404102304 is an abundant number, since it is smaller than the sum of its proper divisors (64167616739136).

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

34431404102304 is a wasteful number, since it uses less digits than its factorization.

34431404102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32605496333 (or 32605496325 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34431404102304 its reverse (40320140413443), we get a palindrome (74751544515747).

The spelling of 34431404102304 in words is "thirty-four trillion, four hundred thirty-one billion, four hundred four million, one hundred two thousand, three hundred four".