3856134816 has 192 divisors, whose sum is σ = 11887948800. Its totient is φ = 1212703488.

The previous prime is 3856134791. The next prime is 3856134823. The reversal of 3856134816 is 6184316583.

3856134816 is a `hidden beast` number, since 3 + 8 + 561 + 3 + 4 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7666021 + ... + 7666523.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^3856134816 is an apocalyptic number.

3856134816 is a gapful number since it is divisible by the number (36) 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 3856134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3856134816 is an abundant number, since it is smaller than the sum of its proper divisors (8031813984).

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

3856134816 is a wasteful number, since it uses less digits than its factorization.

3856134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3856134816 is about 62097.7843082988. The cubic root of 3856134816 is about 1568.1372441649.

The spelling of 3856134816 in words is "three billion, eight hundred fifty-six million, one hundred thirty-four thousand, eight hundred sixteen".