3349741809960 has 1536 divisors, whose sum is σ = 14776984535040. Its totient is φ = 662279307264.

The previous prime is 3349741809959. The next prime is 3349741810007. The reversal of 3349741809960 is 699081479433.

3349741809960 is a `hidden beast` number, since 3 + 3 + 497 + 4 + 1 + 80 + 9 + 9 + 60 = 666.

It is a super-2 number, since 2×3349741809960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5518519977 + ... + 5518520583.

It is an arithmetic number, because the mean of its divisors is an integer number (9620432640).

Almost surely, 2^{3349741809960} is an apocalyptic number.

3349741809960 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 3349741809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388492267520).

3349741809960 is an abundant number, since it is smaller than the sum of its proper divisors (11427242725080).

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

3349741809960 is a wasteful number, since it uses less digits than its factorization.

3349741809960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3349741809960 in words is "three trillion, three hundred forty-nine billion, seven hundred forty-one million, eight hundred nine thousand, nine hundred sixty".