34835392223136 has 288 divisors, whose sum is σ = 108808879652928. Its totient is φ = 10925368750080.

The previous prime is 34835392223113. The next prime is 34835392223143. The reversal of 34835392223136 is 63132229353843.

It is a happy number.

34835392223136 is a `hidden beast` number, since 3 + 4 + 8 + 353 + 9 + 22 + 231 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445580146 + ... + 445658318.

It is an arithmetic number, because the mean of its divisors is an integer number (377808609906).

Almost surely, 2^{34835392223136} is an apocalyptic number.

34835392223136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34835392223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54404439826464).

34835392223136 is an abundant number, since it is smaller than the sum of its proper divisors (73973487429792).

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

34835392223136 is a wasteful number, since it uses less digits than its factorization.

34835392223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81586 (or 81566 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 34835392223136 in words is "thirty-four trillion, eight hundred thirty-five billion, three hundred ninety-two million, two hundred twenty-three thousand, one hundred thirty-six".