387671132160 has 960 divisors, whose sum is σ = 1512528217200. Its totient is φ = 94404870144.

The previous prime is 387671132153. The next prime is 387671132207. The reversal of 387671132160 is 61231176783.

It can be written as a sum of positive squares in 8 ways, for example, as 150494340096 + 237176792064 = 387936^2 + 487008^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 1692886926 + ... + 1692887154.

Almost surely, 2^387671132160 is an apocalyptic number.

387671132160 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 387671132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756264108600).

387671132160 is an abundant number, since it is smaller than the sum of its proper divisors (1124857085040).

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

387671132160 is a wasteful number, since it uses less digits than its factorization.

387671132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 387671132160 in words is "three hundred eighty-seven billion, six hundred seventy-one million, one hundred thirty-two thousand, one hundred sixty".