3334721243616 has 576 divisors, whose sum is σ = 11486603520000. Its totient is φ = 938364134400.

The previous prime is 3334721243599. The next prime is 3334721243617. The reversal of 3334721243616 is 6163421274333.

3334721243616 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 7 + 2 + 1 + 24 + 3 + 616 = 666.

It is a super-2 number, since 2×3334721243616² (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 not an unprimeable number, because it can be changed into a prime (3334721243617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850909305 + ... + 850913223.

It is an arithmetic number, because the mean of its divisors is an integer number (19942020000).

Almost surely, 2^{3334721243616} is an apocalyptic number.

3334721243616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334721243616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743301760000).

3334721243616 is an abundant number, since it is smaller than the sum of its proper divisors (8151882276384).

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

3334721243616 is a wasteful number, since it uses less digits than its factorization.

3334721243616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4231 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The spelling of 3334721243616 in words is "three trillion, three hundred thirty-four billion, seven hundred twenty-one million, two hundred forty-three thousand, six hundred sixteen".