34492900 has 72 divisors (see below), whose sum is σ = 81600680. Its totient is φ = 12654720.

The previous prime is 34492879. The next prime is 34492907. The reversal of 34492900 is 929443.

It can be written as a sum of positive squares in 12 ways, for example, as 34409956 + 82944 = 5866^2 + 288^2 .

It is not an unprimeable number, because it can be changed into a prime (34492907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219622 + ... + 219778.

Almost surely, 2^34492900 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 34492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800340).

34492900 is an abundant number, since it is smaller than the sum of its proper divisors (47107780).

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

34492900 is a wasteful number, since it uses less digits than its factorization.

34492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 34492900 is about 5873.0656389998. The cubic root of 34492900 is about 325.5191702116.

The spelling of 34492900 in words is "thirty-four million, four hundred ninety-two thousand, nine hundred".