3170666987520 has 240 divisors, whose sum is σ = 10199095216128. Its totient is φ = 841071984640.

The previous prime is 3170666987497. The next prime is 3170666987539. The reversal of 3170666987520 is 257896660713.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×3170666987520⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46906387 + ... + 46973933.

Almost surely, 2^{3170666987520} is an apocalyptic number.

3170666987520 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 3170666987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099547608064).

3170666987520 is an abundant number, since it is smaller than the sum of its proper divisors (7028428228608).

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

3170666987520 is an equidigital number, since it uses as much as digits as its factorization.

3170666987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67774 (or 67748 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 3170666987520 in words is "three trillion, one hundred seventy billion, six hundred sixty-six million, nine hundred eighty-seven thousand, five hundred twenty".