3349539490752 has 1120 divisors, whose sum is σ = 12682746531840. Its totient is φ = 850288803840.

The previous prime is 3349539490747. The next prime is 3349539490799. The reversal of 3349539490752 is 2570949359433.

3349539490752 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 539 + 4 + 90 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×3349539490752² (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 a self number, because there is not a number n which added to its sum of digits gives 3349539490752.

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 159 ways as a sum of consecutive naturals, for example, 3319662024 + ... + 3319663032.

It is an arithmetic number, because the mean of its divisors is an integer number (11323880832).

Almost surely, 2^{3349539490752} is an apocalyptic number.

3349539490752 is a gapful number since it is divisible by the number (32) 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 3349539490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341373265920).

3349539490752 is an abundant number, since it is smaller than the sum of its proper divisors (9333207041088).

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

3349539490752 is a wasteful number, since it uses less digits than its factorization.

3349539490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 3349539490752 in words is "three trillion, three hundred forty-nine billion, five hundred thirty-nine million, four hundred ninety thousand, seven hundred fifty-two".