34928100 has 81 divisors (see below), whose sum is σ = 110038747. Its totient is φ = 9266880.

The previous prime is 34928087. The next prime is 34928107. The reversal of 34928100 is 182943.

The square root of 34928100 is 5910.

It is a perfect power (a square), and thus also a powerful number.

34928100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8054244 + 26873856 = 2838^2 + 5184^2 .

It is a super-2 number, since 2×34928100² = 2439944339220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34928107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177202 + ... + 177398.

Almost surely, 2^34928100 is an apocalyptic number.

34928100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34928100 is the 5910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34928100

34928100 is an abundant number, since it is smaller than the sum of its proper divisors (75110647).

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

34928100 is a wasteful number, since it uses less digits than its factorization.

34928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 34928100 is about 326.8824873039.

The spelling of 34928100 in words is "thirty-four million, nine hundred twenty-eight thousand, one hundred".