3311741231064 has 560 divisors, whose sum is σ = 11328726106200. Its totient is φ = 896411160288.

The previous prime is 3311741231063. The next prime is 3311741231077. The reversal of 3311741231064 is 4601321471133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3311741231064 is a `hidden beast` number, since 331 + 1 + 7 + 4 + 1 + 2 + 310 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3311741231064 = 1862³ + 14896³ = 8379³ + 13965³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311741231063) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 174302170047 + ... + 174302170065.

Almost surely, 2^{3311741231064} 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 3311741231064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664363053100).

3311741231064 is an abundant number, since it is smaller than the sum of its proper divisors (8016984875136).

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

3311741231064 is an frugal number, since it uses more digits than its factorization.

3311741231064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3311741231064 in words is "three trillion, three hundred eleven billion, seven hundred forty-one million, two hundred thirty-one thousand, sixty-four".