3886334800 has 60 divisors (see below), whose sum is σ = 9349741980. Its totient is φ = 1552399360.

The previous prime is 3886334783. The next prime is 3886334801. The reversal of 3886334800 is 84336883.

It can be written as a sum of positive squares in 6 ways, for example, as 13512976 + 3872821824 = 3676^2 + 62232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3886334801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302916 + ... + 315484.

It is an arithmetic number, because the mean of its divisors is an integer number (155829033).

Almost surely, 2^3886334800 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 3886334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674870990).

3886334800 is an abundant number, since it is smaller than the sum of its proper divisors (5463407180).

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

3886334800 is a wasteful number, since it uses less digits than its factorization.

3886334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 3886334800 is about 62340.4748137195. The cubic root of 3886334800 is about 1572.2203158593.

The spelling of 3886334800 in words is "three billion, eight hundred eighty-six million, three hundred thirty-four thousand, eight hundred".