387390240 has 144 divisors (see below), whose sum is σ = 1391644800. Its totient is φ = 97860096.

The previous prime is 387390233. The next prime is 387390277. The reversal of 387390240 is 42093783.

387390240 is a `hidden beast` number, since 387 + 39 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 387390195 and 387390204.

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 23 ways as a sum of consecutive naturals, for example, 20281 + ... + 34439.

It is an arithmetic number, because the mean of its divisors is an integer number (9664200).

Almost surely, 2^387390240 is an apocalyptic number.

387390240 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 387390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695822400).

387390240 is an abundant number, since it is smaller than the sum of its proper divisors (1004254560).

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

387390240 is a wasteful number, since it uses less digits than its factorization.

387390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14199 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 387390240 is about 19682.2315807939. The cubic root of 387390240 is about 728.9810265628.

The spelling of 387390240 in words is "three hundred eighty-seven million, three hundred ninety thousand, two hundred forty".