387225216 has 192 divisors, whose sum is σ = 1315392000. Its totient is φ = 106997760.

The previous prime is 387225203. The next prime is 387225259. The reversal of 387225216 is 612522783.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249210 + ... + 250758.

It is an arithmetic number, because the mean of its divisors is an integer number (6851000).

Almost surely, 2^387225216 is an apocalyptic number.

387225216 is a gapful number since it is divisible by the number (36) 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 387225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657696000).

387225216 is an abundant number, since it is smaller than the sum of its proper divisors (928166784).

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

387225216 is a wasteful number, since it uses less digits than its factorization.

387225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1592 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 387225216 is about 19678.0389266817. The cubic root of 387225216 is about 728.8774992161.

Adding to 387225216 its reverse (612522783), we get a palindrome (999747999).

The spelling of 387225216 in words is "three hundred eighty-seven million, two hundred twenty-five thousand, two hundred sixteen".