34827835411152 has 720 divisors, whose sum is σ = 129453676934400. Its totient is φ = 8656122101760.

The previous prime is 34827835411147. The next prime is 34827835411153. The reversal of 34827835411152 is 25111453872843.

34827835411152 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 7 + 83 + 541 + 1 + 15 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34827835411153) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 93256249 + ... + 93628967.

It is an arithmetic number, because the mean of its divisors is an integer number (179796773520).

Almost surely, 2^{34827835411152} 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 34827835411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64726838467200).

34827835411152 is an abundant number, since it is smaller than the sum of its proper divisors (94625841523248).

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

34827835411152 is a wasteful number, since it uses less digits than its factorization.

34827835411152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372824 (or 372808 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 34827835411152 in words is "thirty-four trillion, eight hundred twenty-seven billion, eight hundred thirty-five million, four hundred eleven thousand, one hundred fifty-two".