3364141365156 has 288 divisors, whose sum is σ = 9431901093888. Its totient is φ = 924993838080.

The previous prime is 3364141365133. The next prime is 3364141365161. The reversal of 3364141365156 is 6515631414633.

It is a super-2 number, since 2×3364141365156² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314782845 + ... + 314793531.

It is an arithmetic number, because the mean of its divisors is an integer number (32749656576).

Almost surely, 2^{3364141365156} 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 3364141365156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715950546944).

3364141365156 is an abundant number, since it is smaller than the sum of its proper divisors (6067759728732).

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

3364141365156 is a wasteful number, since it uses less digits than its factorization.

3364141365156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10956 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

Adding to 3364141365156 its reverse (6515631414633), we get a palindrome (9879772779789).

The spelling of 3364141365156 in words is "three trillion, three hundred sixty-four billion, one hundred forty-one million, three hundred sixty-five thousand, one hundred fifty-six".