3363414811272 has 128 divisors (see below), whose sum is σ = 9612859939200. Its totient is φ = 1088974310400.

The previous prime is 3363414811243. The next prime is 3363414811319. The reversal of 3363414811272 is 2721184143633.

It is a happy number.

3363414811272 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 41 + 481 + 127 + 2 = 666.

It is a super-2 number, since 2×3363414811272² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173772 + ... + 2846852.

It is an arithmetic number, because the mean of its divisors is an integer number (75100468275).

Almost surely, 2^{3363414811272} 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 3363414811272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806429969600).

3363414811272 is an abundant number, since it is smaller than the sum of its proper divisors (6249445127928).

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

3363414811272 is a wasteful number, since it uses less digits than its factorization.

3363414811272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673364 (or 1673354 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 3363414811272 in words is "three trillion, three hundred sixty-three billion, four hundred fourteen million, eight hundred eleven thousand, two hundred seventy-two".