34013141004 has 96 divisors (see below), whose sum is σ = 84838440960. Its totient is φ = 10574625600.

The previous prime is 34013140979. The next prime is 34013141009. The reversal of 34013141004 is 40014131043.

It is a super-2 number, since 2×34013141004² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34013141009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18178189 + ... + 18180059.

It is an arithmetic number, because the mean of its divisors is an integer number (883733760).

Almost surely, 2^34013141004 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 34013141004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42419220480).

34013141004 is an abundant number, since it is smaller than the sum of its proper divisors (50825299956).

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

34013141004 is a wasteful number, since it uses less digits than its factorization.

34013141004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34013141004 its reverse (40014131043), we get a palindrome (74027272047).

The spelling of 34013141004 in words is "thirty-four billion, thirteen million, one hundred forty-one thousand, four".