387350208 has 224 divisors, whose sum is σ = 1344696320. Its totient is φ = 106997760.

The previous prime is 387350203. The next prime is 387350209. The reversal of 387350208 is 802053783.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (387350203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374460 + ... + 375492.

Almost surely, 2^387350208 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 387350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672348160).

387350208 is an abundant number, since it is smaller than the sum of its proper divisors (957346112).

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

387350208 is a wasteful number, since it uses less digits than its factorization.

387350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

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

The square root of 387350208 is about 19681.2145966655. The cubic root of 387350208 is about 728.9559153006.

The spelling of 387350208 in words is "three hundred eighty-seven million, three hundred fifty thousand, two hundred eight".