34277708304 has 440 divisors, whose sum is σ = 117035402112. Its totient is φ = 9523422720.

The previous prime is 34277708303. The next prime is 34277708407. The reversal of 34277708304 is 40380777243.

34277708304 is a `hidden beast` number, since 3 + 4 + 277 + 70 + 8 + 304 = 666.

It is a super-2 number, since 2×34277708304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34277708304.

It is not an unprimeable number, because it can be changed into a prime (34277708303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 469557612 + ... + 469557684.

Almost surely, 2^34277708304 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 34277708304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58517701056).

34277708304 is an abundant number, since it is smaller than the sum of its proper divisors (82757693808).

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

34277708304 is an frugal number, since it uses more digits than its factorization.

34277708304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 34277708304 in words is "thirty-four billion, two hundred seventy-seven million, seven hundred eight thousand, three hundred four".