3857178960 has 480 divisors, whose sum is σ = 14581566720. Its totient is φ = 936271872.

The previous prime is 3857178953. The next prime is 3857178973. The reversal of 3857178960 is 698717583.

3857178960 is a `hidden beast` number, since 3 + 8 + 571 + 7 + 8 + 9 + 60 = 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 = 3857178897 and 3857178906.

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, 23096797 + ... + 23096963.

It is an arithmetic number, because the mean of its divisors is an integer number (30378264).

Almost surely, 2^3857178960 is an apocalyptic number.

3857178960 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 3857178960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290783360).

3857178960 is an abundant number, since it is smaller than the sum of its proper divisors (10724387760).

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

3857178960 is a wasteful number, since it uses less digits than its factorization.

3857178960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3857178960 is about 62106.1909957453. The cubic root of 3857178960 is about 1568.2787687234.

The spelling of 3857178960 in words is "three billion, eight hundred fifty-seven million, one hundred seventy-eight thousand, nine hundred sixty".