387649776 has 80 divisors (see below), whose sum is σ = 1075431168. Its totient is φ = 119884800.

The previous prime is 387649771. The next prime is 387649807. The reversal of 387649776 is 677946783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387649771) 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 15 ways as a sum of consecutive naturals, for example, 54591 + ... + 61281.

Almost surely, 2^387649776 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 387649776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537715584).

387649776 is an abundant number, since it is smaller than the sum of its proper divisors (687781392).

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

387649776 is a wasteful number, since it uses less digits than its factorization.

387649776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6784 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 387649776 is about 19688.8236316952. The cubic root of 387649776 is about 729.1437862854.

The spelling of 387649776 in words is "three hundred eighty-seven million, six hundred forty-nine thousand, seven hundred seventy-six".