3848388516 has 288 divisors, whose sum is σ = 12289536000. Its totient is φ = 1019729088.

The previous prime is 3848388491. The next prime is 3848388527. The reversal of 3848388516 is 6158838483.

3848388516 is a `hidden beast` number, since 3 + 8 + 48 + 3 + 88 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16101925 + ... + 16102163.

It is an arithmetic number, because the mean of its divisors is an integer number (42672000).

Almost surely, 2^3848388516 is an apocalyptic number.

3848388516 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 3848388516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768000).

3848388516 is an abundant number, since it is smaller than the sum of its proper divisors (8441147484).

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

3848388516 is a wasteful number, since it uses less digits than its factorization.

3848388516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 329 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 3848388516 is about 62035.3811626881. The cubic root of 3848388516 is about 1567.0865025016.

The spelling of 3848388516 in words is "three billion, eight hundred forty-eight million, three hundred eighty-eight thousand, five hundred sixteen".