34968100 has 36 divisors (see below), whose sum is σ = 76752900. Its totient is φ = 13826560.

The previous prime is 34968097. The next prime is 34968103. The reversal of 34968100 is 186943.

It is an interprime number because it is at equal distance from previous prime (34968097) and next prime (34968103).

It can be written as a sum of positive squares in 6 ways, for example, as 8259876 + 26708224 = 2874^2 + 5168^2 .

It is a super-2 number, since 2×34968100² = 2445536035220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34968103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6936 + ... + 10864.

It is an arithmetic number, because the mean of its divisors is an integer number (2132025).

Almost surely, 2^34968100 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 34968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38376450).

34968100 is an abundant number, since it is smaller than the sum of its proper divisors (41784800).

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

34968100 is a wasteful number, since it uses less digits than its factorization.

34968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 34968100 is about 5913.3831264345. The cubic root of 34968100 is about 327.0072227017.

The spelling of 34968100 in words is "thirty-four million, nine hundred sixty-eight thousand, one hundred".