3856395648 has 512 divisors, whose sum is σ = 13317120000. Its totient is φ = 983549952.

The previous prime is 3856395643. The next prime is 3856395649. The reversal of 3856395648 is 8465936583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856395643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57558111 + ... + 57558177.

It is an arithmetic number, because the mean of its divisors is an integer number (26010000).

Almost surely, 2^3856395648 is an apocalyptic number.

3856395648 is a gapful number since it is divisible by the number (38) 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 3856395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658560000).

3856395648 is an abundant number, since it is smaller than the sum of its proper divisors (9460724352).

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

3856395648 is a wasteful number, since it uses less digits than its factorization.

3856395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The square root of 3856395648 is about 62099.8844443369. The cubic root of 3856395648 is about 1568.1726000477.

The spelling of 3856395648 in words is "three billion, eight hundred fifty-six million, three hundred ninety-five thousand, six hundred forty-eight".