34034104421024 has 48 divisors (see below), whose sum is σ = 67154142546792. Its totient is φ = 16979120529408.

The previous prime is 34034104420871. The next prime is 34034104421029. The reversal of 34034104421024 is 42012440143043.

It can be written as a sum of positive squares in 4 ways, for example, as 30381923520400 + 3652180900624 = 5511980^2 + 1911068^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34034104421029) 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, 29375672 + ... + 30512264.

Almost surely, 2^{34034104421024} is an apocalyptic number.

It is an amenable number.

34034104421024 is a deficient number, since it is larger than the sum of its proper divisors (33120038125768).

34034104421024 is a wasteful number, since it uses less digits than its factorization.

34034104421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138689 (or 1138681 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34034104421024 its reverse (42012440143043), we get a palindrome (76046544564067).

The spelling of 34034104421024 in words is "thirty-four trillion, thirty-four billion, one hundred four million, four hundred twenty-one thousand, twenty-four".