3917543132160 has 2112 divisors, whose sum is σ = 17361835200000. Its totient is φ = 832731217920.

The previous prime is 3917543132089. The next prime is 3917543132183. The reversal of 3917543132160 is 612313457193.

3917543132160 is a `hidden beast` number, since 3 + 9 + 17 + 543 + 1 + 32 + 1 + 60 = 666.

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 191 ways as a sum of consecutive naturals, for example, 7850787591 + ... + 7850788089.

Almost surely, 2^{3917543132160} is an apocalyptic number.

3917543132160 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 3917543132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680917600000).

3917543132160 is an abundant number, since it is smaller than the sum of its proper divisors (13444292067840).

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

3917543132160 is a wasteful number, since it uses less digits than its factorization.

3917543132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3917543132160 in words is "three trillion, nine hundred seventeen billion, five hundred forty-three million, one hundred thirty-two thousand, one hundred sixty".