3680640384 has 128 divisors (see below), whose sum is σ = 10107694080. Its totient is φ = 1185945600.

The previous prime is 3680640373. The next prime is 3680640433. The reversal of 3680640384 is 4830460863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3680640384² = 27094227272663334912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666609 + ... + 1668815.

It is an arithmetic number, because the mean of its divisors is an integer number (78966360).

Almost surely, 2^3680640384 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 3680640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053847040).

3680640384 is an abundant number, since it is smaller than the sum of its proper divisors (6427053696).

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

3680640384 is a wasteful number, since it uses less digits than its factorization.

3680640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3680640384 is about 60668.2815316208. The cubic root of 3680640384 is about 1543.9780751627.

The spelling of 3680640384 in words is "three billion, six hundred eighty million, six hundred forty thousand, three hundred eighty-four".