387256023360 has 560 divisors, whose sum is σ = 1464097686480. Its totient is φ = 97161707520.

The previous prime is 387256023347. The next prime is 387256023403. The reversal of 387256023360 is 63320652783.

387256023360 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 5 + 602 + 3 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33735403584 + 353520619776 = 183672^2 + 594576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127343440 + ... + 127346480.

Almost surely, 2^387256023360 is an apocalyptic number.

387256023360 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 387256023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732048843240).

387256023360 is an abundant number, since it is smaller than the sum of its proper divisors (1076841663120).

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

387256023360 is an equidigital number, since it uses as much as digits as its factorization.

387256023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 387256023360 in words is "three hundred eighty-seven billion, two hundred fifty-six million, twenty-three thousand, three hundred sixty".