387141984 has 96 divisors (see below), whose sum is σ = 1145249280. Its totient is φ = 127209600.

The previous prime is 387141983. The next prime is 387141991. The reversal of 387141984 is 489141783.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387141983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58189 + ... + 64499.

It is an arithmetic number, because the mean of its divisors is an integer number (11929680).

Almost surely, 2^387141984 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 387141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572624640).

387141984 is an abundant number, since it is smaller than the sum of its proper divisors (758107296).

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

387141984 is a wasteful number, since it uses less digits than its factorization.

387141984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6387 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 387141984 is about 19675.9239681393. The cubic root of 387141984 is about 728.8252726938.

The spelling of 387141984 in words is "three hundred eighty-seven million, one hundred forty-one thousand, nine hundred eighty-four".