34404213004 has 96 divisors (see below), whose sum is σ = 74827468800. Its totient is φ = 13802918976.

The previous prime is 34404213001. The next prime is 34404213031. The reversal of 34404213004 is 40031240443.

It is a self number, because there is not a number n which added to its sum of digits gives 34404213004.

It is not an unprimeable number, because it can be changed into a prime (34404213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1471534 + ... + 1494730.

It is an arithmetic number, because the mean of its divisors is an integer number (779452800).

Almost surely, 2^34404213004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404213004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37413734400).

34404213004 is an abundant number, since it is smaller than the sum of its proper divisors (40423255796).

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

34404213004 is a wasteful number, since it uses less digits than its factorization.

34404213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23292 (or 23276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34404213004 its reverse (40031240443), we get a palindrome (74435453447).

The spelling of 34404213004 in words is "thirty-four billion, four hundred four million, two hundred thirteen thousand, four".