387712457721360 has 720 divisors, whose sum is σ = 1505214223896240. Its totient is φ = 89007856680960.

The previous prime is 387712457721359. The next prime is 387712457721397. The reversal of 387712457721360 is 63127754217783.

It is a happy number.

387712457721360 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 1 + 2 + 4 + 577 + 21 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8087448696336 + 379625009025024 = 2843844^2 + 19483968^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126627720 + ... + 129653400.

It is an arithmetic number, because the mean of its divisors is an integer number (2090575310967).

Almost surely, 2^{387712457721360} is an apocalyptic number.

387712457721360 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 387712457721360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752607111948120).

387712457721360 is an abundant number, since it is smaller than the sum of its proper divisors (1117501766174880).

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

387712457721360 is a wasteful number, since it uses less digits than its factorization.

387712457721360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025784 (or 3025756 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 387712457721360 in words is "three hundred eighty-seven trillion, seven hundred twelve billion, four hundred fifty-seven million, seven hundred twenty-one thousand, three hundred sixty".