34004018693424 has 80 divisors (see below), whose sum is σ = 94611028694112. Its totient is φ = 10461657391104.

The previous prime is 34004018693387. The next prime is 34004018693471. The reversal of 34004018693424 is 42439681040043.

It is a super-2 number, since 2×34004018693424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2945542 + ... + 8756954.

Almost surely, 2^{34004018693424} is an apocalyptic number.

It is an amenable number.

34004018693424 is an abundant number, since it is smaller than the sum of its proper divisors (60607010000688).

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

34004018693424 is a wasteful number, since it uses less digits than its factorization.

34004018693424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820814 (or 5820808 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 34004018693424 in words is "thirty-four trillion, four billion, eighteen million, six hundred ninety-three thousand, four hundred twenty-four".