3680407668 has 96 divisors (see below), whose sum is σ = 10366935040. Its totient is φ = 993928320.

The previous prime is 3680407657. The next prime is 3680407739. The reversal of 3680407668 is 8667040863.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 95538 + ... + 128406.

Almost surely, 2^3680407668 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 3680407668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183467520).

3680407668 is an abundant number, since it is smaller than the sum of its proper divisors (6686527372).

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

3680407668 is a wasteful number, since it uses less digits than its factorization.

3680407668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32957 (or 32955 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3680407668 is about 60666.3635633454. The cubic root of 3680407668 is about 1543.9455340886.

The spelling of 3680407668 in words is "three billion, six hundred eighty million, four hundred seven thousand, six hundred sixty-eight".