34488204100 has 135 divisors (see below), whose sum is σ = 87538412157. Its totient is φ = 11793327840.

The previous prime is 34488204083. The next prime is 34488204109. The reversal of 34488204100 is 140288443.

It is a happy number.

The square root of 34488204100 is 185710.

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

It can be written as a sum of positive squares in only one way, i.e., 12415753476 + 22072450624 = 111426^2 + 148568^2 .

It is not an unprimeable number, because it can be changed into a prime (34488204109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90997711 + ... + 90998089.

Almost surely, 2^34488204100 is an apocalyptic number.

34488204100 is the 185710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34488204100

34488204100 is an abundant number, since it is smaller than the sum of its proper divisors (53050208057).

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

34488204100 is an frugal number, since it uses more digits than its factorization.

34488204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 34488204100 in words is "thirty-four billion, four hundred eighty-eight million, two hundred four thousand, one hundred".