34476449055552 has 448 divisors, whose sum is σ = 118101949378560. Its totient is φ = 9657773918208.

The previous prime is 34476449055533. The next prime is 34476449055553. The reversal of 34476449055552 is 25555094467443.

34476449055552 is a `hidden beast` number, since 3 + 4 + 4 + 76 + 4 + 4 + 9 + 0 + 5 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 34476449055552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34476449055553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 950715373 + ... + 950751635.

It is an arithmetic number, because the mean of its divisors is an integer number (263620422720).

Almost surely, 2^{34476449055552} is an apocalyptic number.

34476449055552 is a gapful number since it is divisible by the number (32) 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 34476449055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59050974689280).

34476449055552 is an abundant number, since it is smaller than the sum of its proper divisors (83625500323008).

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

34476449055552 is a wasteful number, since it uses less digits than its factorization.

34476449055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37827 (or 37811 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 63.

The spelling of 34476449055552 in words is "thirty-four trillion, four hundred seventy-six billion, four hundred forty-nine million, fifty-five thousand, five hundred fifty-two".