34049695680 has 1792 divisors, whose sum is σ = 167793131520. Its totient is φ = 6270566400.

The previous prime is 34049695679. The next prime is 34049695721. The reversal of 34049695680 is 8659694043.

34049695680 is a `hidden beast` number, since 3 + 4 + 0 + 496 + 95 + 68 + 0 = 666.

It is a super-2 number, since 2×34049695680² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 268107777 + ... + 268107903.

It is an arithmetic number, because the mean of its divisors is an integer number (93634560).

Almost surely, 2^34049695680 is an apocalyptic number.

34049695680 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 34049695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83896565760).

34049695680 is an abundant number, since it is smaller than the sum of its proper divisors (133743435840).

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

34049695680 is a wasteful number, since it uses less digits than its factorization.

34049695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34049695680 in words is "thirty-four billion, forty-nine million, six hundred ninety-five thousand, six hundred eighty".