33859680100 has 27 divisors (see below), whose sum is σ = 73479499051. Its totient is φ = 13543136000.

The previous prime is 33859680077. The next prime is 33859680109. The reversal of 33859680100 is 108695833.

The square root of 33859680100 is 184010.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1225980196 + 32633699904 = 35014^2 + 180648^2 .

It is a super-2 number, since 2×33859680100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33859680109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1830900 + ... + 1849300.

Almost surely, 2^33859680100 is an apocalyptic number.

33859680100 is the 184010-th square number.

It is an amenable number.

33859680100 is an abundant number, since it is smaller than the sum of its proper divisors (39619818951).

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

33859680100 is an frugal number, since it uses more digits than its factorization.

33859680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36816 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 33859680100 in words is "thirty-three billion, eight hundred fifty-nine million, six hundred eighty thousand, one hundred".