34434132321204 has 144 divisors (see below), whose sum is σ = 108676743092736. Its totient is φ = 8930986516800.

The previous prime is 34434132321191. The next prime is 34434132321353. The reversal of 34434132321204 is 40212323143443.

34434132321204 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 413 + 2 + 32 + 1 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7073062 + ... + 10903965.

Almost surely, 2^{34434132321204} is an apocalyptic number.

It is an amenable number.

34434132321204 is an abundant number, since it is smaller than the sum of its proper divisors (74242610771532).

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

34434132321204 is a wasteful number, since it uses less digits than its factorization.

34434132321204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977746 (or 17977741 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34434132321204 its reverse (40212323143443), we get a palindrome (74646455464647).

The spelling of 34434132321204 in words is "thirty-four trillion, four hundred thirty-four billion, one hundred thirty-two million, three hundred twenty-one thousand, two hundred four".