34533311004 has 72 divisors (see below), whose sum is σ = 89842072320. Its totient is φ = 11179605792.

The previous prime is 34533310993. The next prime is 34533311009. The reversal of 34533311004 is 40011333543.

34533311004 is a `hidden beast` number, since 345 + 3 + 3 + 311 + 0 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533311009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78349 + ... + 274235.

It is an arithmetic number, because the mean of its divisors is an integer number (1247806560).

Almost surely, 2^34533311004 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 34533311004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44921036160).

34533311004 is an abundant number, since it is smaller than the sum of its proper divisors (55308761316).

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

34533311004 is a wasteful number, since it uses less digits than its factorization.

34533311004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196039 (or 196034 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34533311004 its reverse (40011333543), we get a palindrome (74544644547).

The spelling of 34533311004 in words is "thirty-four billion, five hundred thirty-three million, three hundred eleven thousand, four".