3354564336640 has 352 divisors, whose sum is σ = 9331808969664. Its totient is φ = 1143535042560.

The previous prime is 3354564336587. The next prime is 3354564336689. The reversal of 3354564336640 is 466334654533.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3354564336640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 246055264 + ... + 246068896.

Almost surely, 2^{3354564336640} 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 3354564336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665904484832).

3354564336640 is an abundant number, since it is smaller than the sum of its proper divisors (5977244633024).

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

3354564336640 is a wasteful number, since it uses less digits than its factorization.

3354564336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 52.

The spelling of 3354564336640 in words is "three trillion, three hundred fifty-four billion, five hundred sixty-four million, three hundred thirty-six thousand, six hundred forty".