33436340513340 has 24 divisors (see below), whose sum is σ = 93621753437520. Its totient is φ = 8916357470208.

The previous prime is 33436340513239. The next prime is 33436340513351. The reversal of 33436340513340 is 4331504363433.

It is a super-3 number, since 3×33436340513340³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33436340513292 and 33436340513301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278636170885 + ... + 278636171004.

It is an arithmetic number, because the mean of its divisors is an integer number (3900906393230).

Almost surely, 2^{33436340513340} is an apocalyptic number.

33436340513340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33436340513340 is an abundant number, since it is smaller than the sum of its proper divisors (60185412924180).

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

33436340513340 is a wasteful number, since it uses less digits than its factorization.

33436340513340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557272341901 (or 557272341899 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 42.

Adding to 33436340513340 its reverse (4331504363433), we get a palindrome (37767844876773).

The spelling of 33436340513340 in words is "thirty-three trillion, four hundred thirty-six billion, three hundred forty million, five hundred thirteen thousand, three hundred forty".