3350141671680 has 432 divisors, whose sum is σ = 11896476568704. Its totient is φ = 869921095680.

The previous prime is 3350141671649. The next prime is 3350141671697. The reversal of 3350141671680 is 861761410533.

3350141671680 is a `hidden beast` number, since 3 + 3 + 501 + 4 + 1 + 67 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×3350141671680² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 258352557 + ... + 258365523.

Almost surely, 2^{3350141671680} is an apocalyptic number.

3350141671680 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 3350141671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948238284352).

3350141671680 is an abundant number, since it is smaller than the sum of its proper divisors (8546334897024).

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

3350141671680 is a wasteful number, since it uses less digits than its factorization.

3350141671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3350141671680 in words is "three trillion, three hundred fifty billion, one hundred forty-one million, six hundred seventy-one thousand, six hundred eighty".