34211006004 has 144 divisors (see below), whose sum is σ = 94642442496. Its totient is φ = 9587692800.

The previous prime is 34211006003. The next prime is 34211006017. The reversal of 34211006004 is 40060011243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211006003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15458002 + ... + 15460214.

It is an arithmetic number, because the mean of its divisors is an integer number (657239184).

Almost surely, 2^34211006004 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 34211006004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47321221248).

34211006004 is an abundant number, since it is smaller than the sum of its proper divisors (60431436492).

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

34211006004 is a wasteful number, since it uses less digits than its factorization.

34211006004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2717 counting only the distinct ones).

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

Adding to 34211006004 its reverse (40060011243), we get a palindrome (74271017247).

The spelling of 34211006004 in words is "thirty-four billion, two hundred eleven million, six thousand, four".