34514330004 has 288 divisors, whose sum is σ = 113882775552. Its totient is φ = 8551872000.

The previous prime is 34514330003. The next prime is 34514330021. The reversal of 34514330004 is 40003341543.

34514330004 is a `hidden beast` number, since 345 + 14 + 3 + 300 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34514330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34514330003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6098344 + ... + 6104000.

It is an arithmetic number, because the mean of its divisors is an integer number (395426304).

Almost surely, 2^34514330004 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 34514330004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56941387776).

34514330004 is an abundant number, since it is smaller than the sum of its proper divisors (79368445548).

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

34514330004 is a wasteful number, since it uses less digits than its factorization.

34514330004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34514330004 its reverse (40003341543), we get a palindrome (74517671547).

The spelling of 34514330004 in words is "thirty-four billion, five hundred fourteen million, three hundred thirty thousand, four".