3808304640 has 640 divisors, whose sum is σ = 16404664320. Its totient is φ = 817496064.

The previous prime is 3808304629. The next prime is 3808304659. The reversal of 3808304640 is 464038083.

3808304640 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 3808304595 and 3808304604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8225049 + ... + 8225511.

It is an arithmetic number, because the mean of its divisors is an integer number (25632288).

Almost surely, 2^3808304640 is an apocalyptic number.

3808304640 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 3808304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202332160).

3808304640 is an abundant number, since it is smaller than the sum of its proper divisors (12596359680).

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

3808304640 is a wasteful number, since it uses less digits than its factorization.

3808304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3808304640 is about 61711.4627925801. The cubic root of 3808304640 is about 1561.6267055139.

The spelling of 3808304640 in words is "three billion, eight hundred eight million, three hundred four thousand, six hundred forty".