34370448768 has 448 divisors, whose sum is σ = 111254109120. Its totient is φ = 10530570240.

The previous prime is 34370448757. The next prime is 34370448821. The reversal of 34370448768 is 86784407343.

34370448768 is a `hidden beast` number, since 34 + 3 + 70 + 4 + 487 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 74556058 + ... + 74556518.

It is an arithmetic number, because the mean of its divisors is an integer number (248335065).

Almost surely, 2^34370448768 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 34370448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55627054560).

34370448768 is an abundant number, since it is smaller than the sum of its proper divisors (76883660352).

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

34370448768 is an equidigital number, since it uses as much as digits as its factorization.

34370448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34370448768 in words is "thirty-four billion, three hundred seventy million, four hundred forty-eight thousand, seven hundred sixty-eight".