34380205552 has 240 divisors, whose sum is σ = 87617642112. Its totient is φ = 12914173440.

The previous prime is 34380205529. The next prime is 34380205553. The reversal of 34380205552 is 25550208343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34380205553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30778498 + ... + 30779614.

Almost surely, 2^34380205552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34380205552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43808821056).

34380205552 is an abundant number, since it is smaller than the sum of its proper divisors (53237436560).

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

34380205552 is a wasteful number, since it uses less digits than its factorization.

34380205552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

It can be divided in two parts, 34380 and 205552, that added together give a palindrome (239932).

The spelling of 34380205552 in words is "thirty-four billion, three hundred eighty million, two hundred five thousand, five hundred fifty-two".