3680614080 has 672 divisors, whose sum is σ = 15470477568. Its totient is φ = 821145600.

The previous prime is 3680614073. The next prime is 3680614099. The reversal of 3680614080 is 804160863.

It is a happy number.

3680614080 is a `hidden beast` number, since 36 + 8 + 0 + 614 + 0 + 8 + 0 = 666.

3680614080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 11119515 + ... + 11119845.

It is an arithmetic number, because the mean of its divisors is an integer number (23021544).

Almost surely, 2^3680614080 is an apocalyptic number.

3680614080 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 3680614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735238784).

3680614080 is an abundant number, since it is smaller than the sum of its proper divisors (11789863488).

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

3680614080 is a wasteful number, since it uses less digits than its factorization.

3680614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3680614080 is about 60668.0647457952. The cubic root of 3680614080 is about 1543.9743970984.

The spelling of 3680614080 in words is "three billion, six hundred eighty million, six hundred fourteen thousand, eighty".