3856118400 has 768 divisors, whose sum is σ = 15557040000. Its totient is φ = 940584960.

The previous prime is 3856118389. The next prime is 3856118407. The reversal of 3856118400 is 48116583.

3856118400 is a `hidden beast` number, since 38 + 5 + 611 + 8 + 4 + 0 + 0 = 666.

3856118400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3856118400² = 29739298229637120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3856118407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132969586 + ... + 132969614.

Almost surely, 2^3856118400 is an apocalyptic number.

3856118400 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 3856118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778520000).

3856118400 is an abundant number, since it is smaller than the sum of its proper divisors (11700921600).

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

3856118400 is an equidigital number, since it uses as much as digits as its factorization.

3856118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3856118400 is about 62097.6521295290. The cubic root of 3856118400 is about 1568.1350189162.

The spelling of 3856118400 in words is "three billion, eight hundred fifty-six million, one hundred eighteen thousand, four hundred".