387045984 has 96 divisors (see below), whose sum is σ = 1105138944. Its totient is φ = 117895680.

The previous prime is 387045973. The next prime is 387046013. The reversal of 387045984 is 489540783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 127039 + ... + 130049.

It is an arithmetic number, because the mean of its divisors is an integer number (11511864).

Almost surely, 2^387045984 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 387045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552569472).

387045984 is an abundant number, since it is smaller than the sum of its proper divisors (718092960).

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

387045984 is a wasteful number, since it uses less digits than its factorization.

387045984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 387045984 is about 19673.4842872329. The cubic root of 387045984 is about 728.7650251936.

The spelling of 387045984 in words is "three hundred eighty-seven million, forty-five thousand, nine hundred eighty-four".