3848267880 has 320 divisors, whose sum is σ = 13586538240. Its totient is φ = 975794688.

The previous prime is 3848267869. The next prime is 3848267881. The reversal of 3848267880 is 887628483.

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

It is not an unprimeable number, because it can be changed into a prime (3848267881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5634019 + ... + 5634701.

It is an arithmetic number, because the mean of its divisors is an integer number (42457932).

Almost surely, 2^3848267880 is an apocalyptic number.

3848267880 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 3848267880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793269120).

3848267880 is an abundant number, since it is smaller than the sum of its proper divisors (9738270360).

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

3848267880 is a wasteful number, since it uses less digits than its factorization.

3848267880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

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

The square root of 3848267880 is about 62034.4088389661. The cubic root of 3848267880 is about 1567.0701277669.

The spelling of 3848267880 in words is "three billion, eight hundred forty-eight million, two hundred sixty-seven thousand, eight hundred eighty".