3365680100 has 18 divisors (see below), whose sum is σ = 7303526034. Its totient is φ = 1346272000.

The previous prime is 3365680079. The next prime is 3365680103. The reversal of 3365680100 is 10865633.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 3364696036 = 992^2 + 58006^2 .

It is a super-2 number, since 2×3365680100² = 22655605071072020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3365680103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16828301 + ... + 16828500.

Almost surely, 2^3365680100 is an apocalyptic number.

It is an amenable number.

3365680100 is an abundant number, since it is smaller than the sum of its proper divisors (3937845934).

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

3365680100 is a wasteful number, since it uses less digits than its factorization.

3365680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33656815 (or 33656808 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3365680100 is about 58014.4818127336. The cubic root of 3365680100 is about 1498.6180011846.

The spelling of 3365680100 in words is "three billion, three hundred sixty-five million, six hundred eighty thousand, one hundred".