3846102960 has 320 divisors, whose sum is σ = 14270515200. Its totient is φ = 838311936.

The previous prime is 3846102943. The next prime is 3846102961. The reversal of 3846102960 is 692016483.

It is not an unprimeable number, because it can be changed into a prime (3846102961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4335637 + ... + 4336523.

It is an arithmetic number, because the mean of its divisors is an integer number (44595360).

Almost surely, 2^3846102960 is an apocalyptic number.

3846102960 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 3846102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135257600).

3846102960 is an abundant number, since it is smaller than the sum of its proper divisors (10424412240).

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

3846102960 is a wasteful number, since it uses less digits than its factorization.

3846102960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3846102960 is about 62016.9570359591. The cubic root of 3846102960 is about 1566.7762104380.

The spelling of 3846102960 in words is "three billion, eight hundred forty-six million, one hundred two thousand, nine hundred sixty".