3352402042533 has 48 divisors (see below), whose sum is σ = 5266770618096. Its totient is φ = 2046230968320.

The previous prime is 3352402042519. The next prime is 3352402042553.

It is a happy number.

3352402042533 is a `hidden beast` number, since 33 + 52 + 4 + 0 + 2 + 0 + 42 + 533 = 666.

3352402042533 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 299578886244 + 3052823156289 = 547338^2 + 1747233^2 .

It is not a de Polignac number, because 3352402042533 - 2⁸ = 3352402042277 is a prime.

It is a super-3 number, since 3×3352402042533³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352402042553) 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, 31495623 + ... + 31601883.

It is an arithmetic number, because the mean of its divisors is an integer number (109724387877).

Almost surely, 2^{3352402042533} is an apocalyptic number.

It is an amenable number.

3352402042533 is a deficient number, since it is larger than the sum of its proper divisors (1914368575563).

3352402042533 is a wasteful number, since it uses less digits than its factorization.

3352402042533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111894 (or 111891 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 3352402042533 in words is "three trillion, three hundred fifty-two billion, four hundred two million, forty-two thousand, five hundred thirty-three".