387266208 has 192 divisors, whose sum is σ = 1249920000. Its totient is φ = 104654592.

The previous prime is 387266183. The next prime is 387266267. The reversal of 387266208 is 802662783.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 387266208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625323 + ... + 625941.

It is an arithmetic number, because the mean of its divisors is an integer number (6510000).

Almost surely, 2^387266208 is an apocalyptic number.

387266208 is a gapful number since it is divisible by the number (38) 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 387266208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960000).

387266208 is an abundant number, since it is smaller than the sum of its proper divisors (862653792).

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

387266208 is a wasteful number, since it uses less digits than its factorization.

387266208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 387266208 is about 19679.0804663226. The cubic root of 387266208 is about 728.9032181784.

The spelling of 387266208 in words is "three hundred eighty-seven million, two hundred sixty-six thousand, two hundred eight".