34044434102432 has 48 divisors (see below), whose sum is σ = 72991767015720. Its totient is φ = 15536267231232.

The previous prime is 34044434102431. The next prime is 34044434102513. The reversal of 34044434102432 is 23420143444043.

It can be written as a sum of positive squares in 4 ways, for example, as 26808742976656 + 7235691125776 = 5177716^2 + 2689924^2 .

It is not an unprimeable number, because it can be changed into a prime (34044434102431) 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, 459724673 + ... + 459798720.

Almost surely, 2^{34044434102432} is an apocalyptic number.

34044434102432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34044434102432 is an abundant number, since it is smaller than the sum of its proper divisors (38947332913288).

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

34044434102432 is a wasteful number, since it uses less digits than its factorization.

34044434102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919523505 (or 919523497 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 34044434102432 its reverse (23420143444043), we get a palindrome (57464577546475).

The spelling of 34044434102432 in words is "thirty-four trillion, forty-four billion, four hundred thirty-four million, one hundred two thousand, four hundred thirty-two".