34533356004 has 144 divisors (see below), whose sum is σ = 101629382400. Its totient is φ = 9683739648.

The previous prime is 34533355999. The next prime is 34533356009. The reversal of 34533356004 is 40065333543.

34533356004 is a `hidden beast` number, since 3 + 45 + 3 + 3 + 3 + 5 + 600 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34533355999) and next prime (34533356009).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34533356004.

It is not an unprimeable number, because it can be changed into a prime (34533356009) 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, 3067017 + ... + 3078255.

It is an arithmetic number, because the mean of its divisors is an integer number (705759600).

Almost surely, 2^34533356004 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 34533356004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50814691200).

34533356004 is an abundant number, since it is smaller than the sum of its proper divisors (67096026396).

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

34533356004 is a wasteful number, since it uses less digits than its factorization.

34533356004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11482 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 34533356004 its reverse (40065333543), we get a palindrome (74598689547).

The spelling of 34533356004 in words is "thirty-four billion, five hundred thirty-three million, three hundred fifty-six thousand, four".