387649820 has 48 divisors (see below), whose sum is σ = 853493760. Its totient is φ = 147614016.

The previous prime is 387649813. The next prime is 387649831. The reversal of 387649820 is 28946783.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 100691 + ... + 104469.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^387649820 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 387649820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

387649820 is an abundant number, since it is smaller than the sum of its proper divisors (465843940).

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

387649820 is a wasteful number, since it uses less digits than its factorization.

387649820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 387649820 is about 19688.8247490804. The cubic root of 387649820 is about 729.1438138724.

It can be divided in two parts, 38764 and 9820, that added together give a palindrome (48584).

The spelling of 387649820 in words is "three hundred eighty-seven million, six hundred forty-nine thousand, eight hundred twenty".