387717242174976 has 1280 divisors, whose sum is σ = 1361483053793280. Its totient is φ = 95422811996160.

The previous prime is 387717242174947. The next prime is 387717242175013. The reversal of 387717242174976 is 679471242717783.

It is a junction number, because it is equal to n+sod(n) for n = 387717242174898 and 387717242174907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11598907575 + ... + 11598941001.

It is an arithmetic number, because the mean of its divisors is an integer number (1063658635776).

Almost surely, 2^{387717242174976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387717242174976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680741526896640).

387717242174976 is an abundant number, since it is smaller than the sum of its proper divisors (973765811618304).

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

387717242174976 is a wasteful number, since it uses less digits than its factorization.

387717242174976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33615 (or 33599 counting only the distinct ones).

The product of its digits is 1394039808, while the sum is 75.

The spelling of 387717242174976 in words is "three hundred eighty-seven trillion, seven hundred seventeen billion, two hundred forty-two million, one hundred seventy-four thousand, nine hundred seventy-six".