34434101342000 has 40 divisors (see below), whose sum is σ = 83261657049792. Its totient is φ = 13773640536000.

The previous prime is 34434101341943. The next prime is 34434101342023. The reversal of 34434101342000 is 24310143443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34434101342000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8608523336 + ... + 8608527335.

Almost surely, 2^{34434101342000} is an apocalyptic number.

It is an amenable number.

34434101342000 is an abundant number, since it is smaller than the sum of its proper divisors (48827555707792).

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

34434101342000 is a wasteful number, since it uses less digits than its factorization.

34434101342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217050694 (or 17217050678 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34434101342000 its reverse (24310143443), we get a palindrome (34458411485443).

The spelling of 34434101342000 in words is "thirty-four trillion, four hundred thirty-four billion, one hundred one million, three hundred forty-two thousand".