3845892960 has 576 divisors, whose sum is σ = 16766410752. Its totient is φ = 810694656.

The previous prime is 3845892937. The next prime is 3845892979. The reversal of 3845892960 is 692985483.

3845892960 is a `hidden beast` number, since 38 + 4 + 589 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3845892897 and 3845892906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3537537 + ... + 3538623.

It is an arithmetic number, because the mean of its divisors is an integer number (29108352).

Almost surely, 2^3845892960 is an apocalyptic number.

3845892960 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 3845892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383205376).

3845892960 is an abundant number, since it is smaller than the sum of its proper divisors (12920517792).

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

3845892960 is a wasteful number, since it uses less digits than its factorization.

3845892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3845892960 is about 62015.2639275203. The cubic root of 3845892960 is about 1566.7476942147.

The spelling of 3845892960 in words is "three billion, eight hundred forty-five million, eight hundred ninety-two thousand, nine hundred sixty".