34348279680 has 1152 divisors, whose sum is σ = 149325845760. Its totient is φ = 7201751040.

The previous prime is 34348279661. The next prime is 34348279709. The reversal of 34348279680 is 8697284343.

34348279680 is a `hidden beast` number, since 3 + 434 + 82 + 79 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154028049 + ... + 154028271.

It is an arithmetic number, because the mean of its divisors is an integer number (129623130).

Almost surely, 2^34348279680 is an apocalyptic number.

34348279680 is a gapful number since it is divisible by the number (30) 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 34348279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74662922880).

34348279680 is an abundant number, since it is smaller than the sum of its proper divisors (114977566080).

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

34348279680 is a wasteful number, since it uses less digits than its factorization.

34348279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

It can be divided in two parts, 34348 and 279680, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 34348279680 in words is "thirty-four billion, three hundred forty-eight million, two hundred seventy-nine thousand, six hundred eighty".