3349504327680 has 760 divisors, whose sum is σ = 13727125503168. Its totient is φ = 765431119872.

The previous prime is 3349504327591. The next prime is 3349504327681. The reversal of 3349504327680 is 867234059433.

3349504327680 is a `hidden beast` number, since 3 + 3 + 49 + 504 + 32 + 7 + 68 + 0 = 666.

It is a super-2 number, since 2×3349504327680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3349504327681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743175987 + ... + 743180493.

Almost surely, 2^{3349504327680} is an apocalyptic number.

3349504327680 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 3349504327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863562751584).

3349504327680 is an abundant number, since it is smaller than the sum of its proper divisors (10377621175488).

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

3349504327680 is an frugal number, since it uses more digits than its factorization.

3349504327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3349504327680 in words is "three trillion, three hundred forty-nine billion, five hundred four million, three hundred twenty-seven thousand, six hundred eighty".