34355430251352 has 192 divisors, whose sum is σ = 106975917172800. Its totient is φ = 9757113569280.

The previous prime is 34355430251347. The next prime is 34355430251353. The reversal of 34355430251352 is 25315203455343.

34355430251352 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 5 + 43 + 0 + 251 + 352 = 666.

It is a super-3 number, since 3×34355430251352³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34355430251298 and 34355430251307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355430251353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70970452 + ... + 71452892.

It is an arithmetic number, because the mean of its divisors is an integer number (557166235275).

Almost surely, 2^{34355430251352} 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 34355430251352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487958586400).

34355430251352 is an abundant number, since it is smaller than the sum of its proper divisors (72620486921448).

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

34355430251352 is a wasteful number, since it uses less digits than its factorization.

34355430251352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483306 (or 483299 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 34355430251352 in words is "thirty-four trillion, three hundred fifty-five billion, four hundred thirty million, two hundred fifty-one thousand, three hundred fifty-two".