387115200 has 420 divisors, whose sum is σ = 1486296240. Its totient is φ = 98703360.

The previous prime is 387115199. The next prime is 387115219. The reversal of 387115200 is 2511783.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3758349 + ... + 3758451.

Almost surely, 2^387115200 is an apocalyptic number.

387115200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743148120).

387115200 is an abundant number, since it is smaller than the sum of its proper divisors (1099181040).

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

387115200 is a wasteful number, since it uses less digits than its factorization.

387115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 387115200 is about 19675.2433275932. The cubic root of 387115200 is about 728.8084646431.

Adding to 387115200 its reverse (2511783), we get a palindrome (389626983).

The spelling of 387115200 in words is "three hundred eighty-seven million, one hundred fifteen thousand, two hundred".