3865346600 has 96 divisors (see below), whose sum is σ = 9351782400. Its totient is φ = 1484179200.

The previous prime is 3865346579. The next prime is 3865346609. The reversal of 3865346600 is 66435683.

It is not an unprimeable number, because it can be changed into a prime (3865346609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784946 + ... + 789854.

It is an arithmetic number, because the mean of its divisors is an integer number (97414400).

Almost surely, 2^3865346600 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 3865346600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675891200).

3865346600 is an abundant number, since it is smaller than the sum of its proper divisors (5486435800).

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

3865346600 is a wasteful number, since it uses less digits than its factorization.

3865346600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 3865346600 is about 62171.9116643521. The cubic root of 3865346600 is about 1569.3849403556.

The spelling of 3865346600 in words is "three billion, eight hundred sixty-five million, three hundred forty-six thousand, six hundred".