34011324004 has 192 divisors, whose sum is σ = 74854563840. Its totient is φ = 13211735040.

The previous prime is 34011323993. The next prime is 34011324019. The reversal of 34011324004 is 40042311043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152517037 + ... + 152517259.

It is an arithmetic number, because the mean of its divisors is an integer number (389867520).

Almost surely, 2^34011324004 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 34011324004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37427281920).

34011324004 is an abundant number, since it is smaller than the sum of its proper divisors (40843239836).

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

34011324004 is a wasteful number, since it uses less digits than its factorization.

34011324004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34011324004 its reverse (40042311043), we get a palindrome (74053635047).

The spelling of 34011324004 in words is "thirty-four billion, eleven million, three hundred twenty-four thousand, four".