34436425533312 has 128 divisors (see below), whose sum is σ = 100457085168000. Its totient is φ = 10365244835840.

The previous prime is 34436425533287. The next prime is 34436425533379. The reversal of 34436425533312 is 21333552463443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34436425533312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26728218 + ... + 27986969.

It is an arithmetic number, because the mean of its divisors is an integer number (784820977875).

Almost surely, 2^{34436425533312} is an apocalyptic number.

34436425533312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34436425533312 is an abundant number, since it is smaller than the sum of its proper divisors (66020659634688).

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

34436425533312 is a wasteful number, since it uses less digits than its factorization.

34436425533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54715364 (or 54715352 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 48.

Adding to 34436425533312 its reverse (21333552463443), we get a palindrome (55769977996755).

The spelling of 34436425533312 in words is "thirty-four trillion, four hundred thirty-six billion, four hundred twenty-five million, five hundred thirty-three thousand, three hundred twelve".