34768348100 has 18 divisors (see below), whose sum is σ = 75447315594. Its totient is φ = 13907339200.

The previous prime is 34768348081. The next prime is 34768348103. The reversal of 34768348100 is 184386743.

It can be written as a sum of positive squares in 3 ways, for example, as 2803914304 + 31964433796 = 52952^2 + 178786^2 .

It is a super-2 number, since 2×34768348100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34768348103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173841641 + ... + 173841840.

It is an arithmetic number, because the mean of its divisors is an integer number (4191517533).

Almost surely, 2^34768348100 is an apocalyptic number.

It is an amenable number.

34768348100 is an abundant number, since it is smaller than the sum of its proper divisors (40678967494).

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

34768348100 is a wasteful number, since it uses less digits than its factorization.

34768348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347683495 (or 347683488 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 34768348100 in words is "thirty-four billion, seven hundred sixty-eight million, three hundred forty-eight thousand, one hundred".