387144720 has 120 divisors (see below), whose sum is σ = 1303862976. Its totient is φ = 102945024.

The previous prime is 387144713. The next prime is 387144721. The reversal of 387144720 is 27441783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (387144721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393349 + ... + 394331.

Almost surely, 2^387144720 is an apocalyptic number.

387144720 is a gapful number since it is divisible by the number (30) 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 387144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651931488).

387144720 is an abundant number, since it is smaller than the sum of its proper divisors (916718256).

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

387144720 is a wasteful number, since it uses less digits than its factorization.

387144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 387144720 is about 19675.9934946117. The cubic root of 387144720 is about 728.8269896016.

It can be divided in two parts, 38714 and 4720, that added together give a palindrome (43434).

The spelling of 387144720 in words is "three hundred eighty-seven million, one hundred forty-four thousand, seven hundred twenty".