3341235605760 has 576 divisors, whose sum is σ = 13080309500160. Its totient is φ = 802393620480.

The previous prime is 3341235605753. The next prime is 3341235605761. The reversal of 3341235605760 is 675065321433.

It is a happy number.

3341235605760 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 2 + 35 + 605 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3341235605760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3341235605761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18329787 + ... + 18511173.

It is an arithmetic number, because the mean of its divisors is an integer number (22708870660).

Almost surely, 2^{3341235605760} is an apocalyptic number.

3341235605760 is a gapful number since it is divisible by the number (30) 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 3341235605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540154750080).

3341235605760 is an abundant number, since it is smaller than the sum of its proper divisors (9739073894400).

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

3341235605760 is a wasteful number, since it uses less digits than its factorization.

3341235605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181471 (or 181451 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 3341235605760 in words is "three trillion, three hundred forty-one billion, two hundred thirty-five million, six hundred five thousand, seven hundred sixty".