3848076288 has 352 divisors, whose sum is σ = 13284211200. Its totient is φ = 1077608448.

The previous prime is 3848076263. The next prime is 3848076301. The reversal of 3848076288 is 8826708483.

3848076288 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 0 + 7 + 628 + 8 = 666.

It is a super-2 number, since 2×3848076288² = 29615382236535717888, which contains 22 as substring.

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

It is a congruent number.

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, 11418456 + ... + 11418792.

Almost surely, 2^3848076288 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 3848076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642105600).

3848076288 is an abundant number, since it is smaller than the sum of its proper divisors (9436134912).

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

3848076288 is a wasteful number, since it uses less digits than its factorization.

3848076288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 3848076288 is about 62032.8645799950. The cubic root of 3848076288 is about 1567.0441209943.

The spelling of 3848076288 in words is "three billion, eight hundred forty-eight million, seventy-six thousand, two hundred eighty-eight".