34144532033 has 16 divisors (see below), whose sum is σ = 35998110720. Its totient is φ = 32322118224.

The previous prime is 34144532029. The next prime is 34144532039. The reversal of 34144532033 is 33023544143.

It is not a de Polignac number, because 34144532033 - 2² = 34144532029 is a prime.

It is a super-2 number, since 2×34144532033² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34144532039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4684610 + ... + 4691892.

It is an arithmetic number, because the mean of its divisors is an integer number (2249881920).

Almost surely, 2^34144532033 is an apocalyptic number.

It is an amenable number.

34144532033 is a deficient number, since it is larger than the sum of its proper divisors (1853578687).

34144532033 is a wasteful number, since it uses less digits than its factorization.

34144532033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388.

The product of its (nonzero) digits is 51840, while the sum is 32.

The spelling of 34144532033 in words is "thirty-four billion, one hundred forty-four million, five hundred thirty-two thousand, thirty-three".