386348600 has 96 divisors (see below), whose sum is σ = 987258240. Its totient is φ = 139440000.

The previous prime is 386348581. The next prime is 386348609. The reversal of 386348600 is 6843683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386348609) 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, 331619 + ... + 332781.

It is an arithmetic number, because the mean of its divisors is an integer number (10283940).

Almost surely, 2^386348600 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 386348600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493629120).

386348600 is an abundant number, since it is smaller than the sum of its proper divisors (600909640).

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

386348600 is a wasteful number, since it uses less digits than its factorization.

386348600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 386348600 is about 19655.7523386921. The cubic root of 386348600 is about 728.3270629190.

The spelling of 386348600 in words is "three hundred eighty-six million, three hundred forty-eight thousand, six hundred".