387434016 has 120 divisors (see below), whose sum is σ = 1199555280. Its totient is φ = 122332032.

The previous prime is 387433987. The next prime is 387434017. The reversal of 387434016 is 610434783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (387434017) 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 19 ways as a sum of consecutive naturals, for example, 45315 + ... + 53181.

It is an arithmetic number, because the mean of its divisors is an integer number (9996294).

Almost surely, 2^387434016 is an apocalyptic number.

387434016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599777640).

387434016 is an abundant number, since it is smaller than the sum of its proper divisors (812121264).

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

387434016 is a wasteful number, since it uses less digits than its factorization.

387434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 387434016 is about 19683.3436183998. The cubic root of 387434016 is about 729.0084843802.

Adding to 387434016 its reverse (610434783), we get a palindrome (997868799).

The spelling of 387434016 in words is "three hundred eighty-seven million, four hundred thirty-four thousand, sixteen".