3680006616 has 96 divisors (see below), whose sum is σ = 11709144720. Its totient is φ = 1029369600.

The previous prime is 3680006593. The next prime is 3680006623. The reversal of 3680006616 is 6166000863.

3680006616 is a `hidden beast` number, since 36 + 8 + 0 + 0 + 0 + 6 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168415 + ... + 189006.

Almost surely, 2^3680006616 is an apocalyptic number.

3680006616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3680006616 is an abundant number, since it is smaller than the sum of its proper divisors (8029138104).

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

3680006616 is a wasteful number, since it uses less digits than its factorization.

3680006616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357457 (or 357450 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3680006616 is about 60663.0580831530. The cubic root of 3680006616 is about 1543.8894510861.

The spelling of 3680006616 in words is "three billion, six hundred eighty million, six thousand, six hundred sixteen".