3391120085184 has 672 divisors, whose sum is σ = 11122900588800. Its totient is φ = 1017996595200.

The previous prime is 3391120085161. The next prime is 3391120085189. The reversal of 3391120085184 is 4815800211933.

3391120085184 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 120 + 0 + 8 + 518 + 4 = 666.

It is a super-2 number, since 2×3391120085184² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3391120085189) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1615587367 + ... + 1615589465.

It is an arithmetic number, because the mean of its divisors is an integer number (16551935400).

Almost surely, 2^{3391120085184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3391120085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561450294400).

3391120085184 is an abundant number, since it is smaller than the sum of its proper divisors (7731780503616).

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

3391120085184 is a wasteful number, since it uses less digits than its factorization.

3391120085184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3391120085184 in words is "three trillion, three hundred ninety-one billion, one hundred twenty million, eighty-five thousand, one hundred eighty-four".