34144344344004 has 48 divisors (see below), whose sum is σ = 84334066259520. Its totient is φ = 10733426605440.

The previous prime is 34144344343973. The next prime is 34144344344009. The reversal of 34144344344004 is 40044344344143.

It is not an unprimeable number, because it can be changed into a prime (34144344344009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140867967 + ... + 1140897894.

It is an arithmetic number, because the mean of its divisors is an integer number (1756959713740).

Almost surely, 2^{34144344344004} is an apocalyptic number.

It is an amenable number.

34144344344004 is an abundant number, since it is smaller than the sum of its proper divisors (50189721915516).

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

34144344344004 is a wasteful number, since it uses less digits than its factorization.

34144344344004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281765940 (or 2281765938 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 34144344344004 its reverse (40044344344143), we get a palindrome (74188688688147).

The spelling of 34144344344004 in words is "thirty-four trillion, one hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, four".