3856619257920 has 672 divisors, whose sum is σ = 15597236962944. Its totient is φ = 862300569600.

The previous prime is 3856619257867. The next prime is 3856619257943. The reversal of 3856619257920 is 297529166583.

3856619257920 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 619 + 2 + 5 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×3856619257920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609931879 + ... + 609938201.

It is an arithmetic number, because the mean of its divisors is an integer number (23210174052).

Almost surely, 2^{3856619257920} is an apocalyptic number.

3856619257920 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 3856619257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798618481472).

3856619257920 is an abundant number, since it is smaller than the sum of its proper divisors (11740617705024).

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

3856619257920 is a wasteful number, since it uses less digits than its factorization.

3856619257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 3856619257920 in words is "three trillion, eight hundred fifty-six billion, six hundred nineteen million, two hundred fifty-seven thousand, nine hundred twenty".