387773568 has 384 divisors, whose sum is σ = 1434625920. Its totient is φ = 101523456.

The previous prime is 387773567. The next prime is 387773611. The reversal of 387773568 is 865377783.

387773568 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 73 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387773567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2830396 + ... + 2830532.

It is an arithmetic number, because the mean of its divisors is an integer number (3736005).

Almost surely, 2^387773568 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 387773568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717312960).

387773568 is an abundant number, since it is smaller than the sum of its proper divisors (1046852352).

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

387773568 is a wasteful number, since it uses less digits than its factorization.

387773568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 387773568 is about 19691.9670932083. The cubic root of 387773568 is about 729.2213929008.

The spelling of 387773568 in words is "three hundred eighty-seven million, seven hundred seventy-three thousand, five hundred sixty-eight".