34414133504 has 18 divisors (see below), whose sum is σ = 68693837310. Its totient is φ = 17207066624.

The previous prime is 34414133489. The next prime is 34414133531. The reversal of 34414133504 is 40533141443.

It can be written as a sum of positive squares in only one way, i.e., 28197126400 + 6217007104 = 167920^2 + 78848^2 .

It is a super-3 number, since 3×34414133504³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67214849 + ... + 67215360.

It is an arithmetic number, because the mean of its divisors is an integer number (3816324295).

Almost surely, 2^34414133504 is an apocalyptic number.

It is an amenable number.

34414133504 is a deficient number, since it is larger than the sum of its proper divisors (34279703806).

34414133504 is an equidigital number, since it uses as much as digits as its factorization.

34414133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134430225 (or 134430211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 34414133504 its reverse (40533141443), we get a palindrome (74947274947).

The spelling of 34414133504 in words is "thirty-four billion, four hundred fourteen million, one hundred thirty-three thousand, five hundred four".