387081216 has 132 divisors (see below), whose sum is σ = 1131819052. Its totient is φ = 127401984.

The previous prime is 387081193. The next prime is 387081229. The reversal of 387081216 is 612180783.

It can be written as a sum of positive squares in 2 ways, for example, as 101606400 + 285474816 = 10080^2 + 16896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893736 + ... + 894168.

Almost surely, 2^387081216 is an apocalyptic number.

387081216 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 387081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565909526).

387081216 is an abundant number, since it is smaller than the sum of its proper divisors (744737836).

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

387081216 is a wasteful number, since it uses less digits than its factorization.

387081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 387081216 is about 19674.3796852658. The cubic root of 387081216 is about 728.7871371832.

The spelling of 387081216 in words is "three hundred eighty-seven million, eighty-one thousand, two hundred sixteen".