3885348384 has 168 divisors, whose sum is σ = 11555091072. Its totient is φ = 1285372800.

The previous prime is 3885348371. The next prime is 3885348391. The reversal of 3885348384 is 4838435883.

3885348384 is a `hidden beast` number, since 3 + 8 + 85 + 3 + 483 + 84 = 666.

3885348384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3885348384² = 30191864130102822912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3885348384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3521977 + ... + 3523079.

It is an arithmetic number, because the mean of its divisors is an integer number (68780304).

Almost surely, 2^3885348384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3885348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777545536).

3885348384 is an abundant number, since it is smaller than the sum of its proper divisors (7669742688).

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

3885348384 is a wasteful number, since it uses less digits than its factorization.

3885348384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1259 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 3885348384 is about 62332.5627902463. The cubic root of 3885348384 is about 1572.0872861037.

The spelling of 3885348384 in words is "three billion, eight hundred eighty-five million, three hundred forty-eight thousand, three hundred eighty-four".