3846888 has 72 divisors (see below), whose sum is σ = 10999170. Its totient is φ = 1214400.

The previous prime is 3846877. The next prime is 3846917. The reversal of 3846888 is 8886483.

It can be written as a sum of positive squares in only one way, i.e., 2304324 + 1542564 = 1518^2 + 1242^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38038 + ... + 38138.

Almost surely, 2^3846888 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 3846888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499585).

3846888 is an abundant number, since it is smaller than the sum of its proper divisors (7152282).

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

3846888 is a wasteful number, since it uses less digits than its factorization.

3846888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

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

The square root of 3846888 is about 1961.3485156902. The cubic root of 3846888 is about 156.6882803036.

The spelling of 3846888 in words is "three million, eight hundred forty-six thousand, eight hundred eighty-eight".