3812460960 has 768 divisors, whose sum is σ = 16198963200. Its totient is φ = 729907200.

The previous prime is 3812460947. The next prime is 3812460983. The reversal of 3812460960 is 690642183.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42836596 + ... + 42836684.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^3812460960 is an apocalyptic number.

3812460960 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 3812460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099481600).

3812460960 is an abundant number, since it is smaller than the sum of its proper divisors (12386502240).

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

3812460960 is a wasteful number, since it uses less digits than its factorization.

3812460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

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

The square root of 3812460960 is about 61745.1290386537. The cubic root of 3812460960 is about 1562.1946100542.

The spelling of 3812460960 in words is "three billion, eight hundred twelve million, four hundred sixty thousand, nine hundred sixty".