387242241152 has 72 divisors (see below), whose sum is σ = 835564497345. Its totient is φ = 178684945920.

The previous prime is 387242241149. The next prime is 387242241157. The reversal of 387242241152 is 251142242783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 331103573056 + 56138668096 = 575416^2 + 236936^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=440024.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387242241157) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91522877 + ... + 91527107.

Almost surely, 2^387242241152 is an apocalyptic number.

387242241152 is a gapful number since it is divisible by the number (32) 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 387242241152

387242241152 is an abundant number, since it is smaller than the sum of its proper divisors (448322256193).

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

387242241152 is an frugal number, since it uses more digits than its factorization.

387242241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 4246 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The spelling of 387242241152 in words is "three hundred eighty-seven billion, two hundred forty-two million, two hundred forty-one thousand, one hundred fifty-two".