3881461248 has 160 divisors (see below), whose sum is σ = 13131064320. Its totient is φ = 1108961280.

The previous prime is 3881461229. The next prime is 3881461279. The reversal of 3881461248 is 8421641883.

3881461248 is a `hidden beast` number, since 388 + 146 + 124 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76713 + ... + 116823.

It is an arithmetic number, because the mean of its divisors is an integer number (82069152).

Almost surely, 2^3881461248 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 3881461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565532160).

3881461248 is an abundant number, since it is smaller than the sum of its proper divisors (9249603072).

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

3881461248 is an equidigital number, since it uses as much as digits as its factorization.

3881461248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40145 (or 40123 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3881461248 is about 62301.3743668629. The cubic root of 3881461248 is about 1571.5628409726.

The spelling of 3881461248 in words is "three billion, eight hundred eighty-one million, four hundred sixty-one thousand, two hundred forty-eight".