3618679680 has 768 divisors, whose sum is σ = 16039296000. Its totient is φ = 729907200.

The previous prime is 3618679657. The next prime is 3618679763. The reversal of 3618679680 is 869768163.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18184221 + ... + 18184419.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^3618679680 is an apocalyptic number.

3618679680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3618679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648000).

3618679680 is an abundant number, since it is smaller than the sum of its proper divisors (12420616320).

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

3618679680 is a wasteful number, since it uses less digits than its factorization.

3618679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3618679680 is about 60155.4625948467. The cubic root of 3618679680 is about 1535.2651106926.

The spelling of 3618679680 in words is "three billion, six hundred eighteen million, six hundred seventy-nine thousand, six hundred eighty".