3851611680 has 288 divisors, whose sum is σ = 14290686144. Its totient is φ = 869320704.

The previous prime is 3851611679. The next prime is 3851611691. The reversal of 3851611680 is 861161583.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1951174 + ... + 1953146.

It is an arithmetic number, because the mean of its divisors is an integer number (49620438).

Almost surely, 2^3851611680 is an apocalyptic number.

3851611680 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 3851611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145343072).

3851611680 is an abundant number, since it is smaller than the sum of its proper divisors (10439074464).

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

3851611680 is a wasteful number, since it uses less digits than its factorization.

3851611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 3851611680 is about 62061.3541586066. The cubic root of 3851611680 is about 1567.5238775491.

The spelling of 3851611680 in words is "three billion, eight hundred fifty-one million, six hundred eleven thousand, six hundred eighty".