387966962880 has 504 divisors, whose sum is σ = 1562816127600. Its totient is φ = 88078233600.

The previous prime is 387966962771. The next prime is 387966962881. The reversal of 387966962880 is 88269669783.

387966962880 is a `hidden beast` number, since 387 + 9 + 66 + 96 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 387966962799 and 387966962808.

It is not an unprimeable number, because it can be changed into a prime (387966962881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21017655 + ... + 21036105.

It is an arithmetic number, because the mean of its divisors is an integer number (3100825650).

Almost surely, 2^387966962880 is an apocalyptic number.

387966962880 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 387966962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781408063800).

387966962880 is an abundant number, since it is smaller than the sum of its proper divisors (1174849164720).

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

387966962880 is a wasteful number, since it uses less digits than its factorization.

387966962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18637 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 387966962880 in words is "three hundred eighty-seven billion, nine hundred sixty-six million, nine hundred sixty-two thousand, eight hundred eighty".