3808000680 has 192 divisors, whose sum is σ = 13296467520. Its totient is φ = 868792320.

The previous prime is 3808000649. The next prime is 3808000687. The reversal of 3808000680 is 860008083.

It is a Cunningham number, because it is equal to 61709²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3808000687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239127 + ... + 254553.

It is an arithmetic number, because the mean of its divisors is an integer number (69252435).

Almost surely, 2^3808000680 is an apocalyptic number.

3808000680 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 3808000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648233760).

3808000680 is an abundant number, since it is smaller than the sum of its proper divisors (9488466840).

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

3808000680 is a wasteful number, since it uses less digits than its factorization.

3808000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15465 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3808000680 is about 61708.9999918975. Note that the first 5 decimals coincide. The cubic root of 3808000680 is about 1561.5851573074.

The spelling of 3808000680 in words is "three billion, eight hundred eight million, six hundred eighty", and thus it is an aban number.