3361423889664 has 216 divisors, whose sum is σ = 10235056104000. Its totient is φ = 1058844205056.

The previous prime is 3361423889633. The next prime is 3361423889683. The reversal of 3361423889664 is 4669883241633.

3361423889664 is a `hidden beast` number, since 3 + 3 + 61 + 423 + 8 + 8 + 96 + 64 = 666.

It is a super-2 number, since 2×3361423889664² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4016212 + ... + 4780460.

It is an arithmetic number, because the mean of its divisors is an integer number (47384519000).

Almost surely, 2^{3361423889664} 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 3361423889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117528052000).

3361423889664 is an abundant number, since it is smaller than the sum of its proper divisors (6873632214336).

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

3361423889664 is a wasteful number, since it uses less digits than its factorization.

3361423889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764377 (or 764360 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 3361423889664 in words is "three trillion, three hundred sixty-one billion, four hundred twenty-three million, eight hundred eighty-nine thousand, six hundred sixty-four".