3493339670520 has 256 divisors, whose sum is σ = 13336841548800. Its totient is φ = 796744788480.

The previous prime is 3493339670507. The next prime is 3493339670537. The reversal of 3493339670520 is 250769333943.

3493339670520 is a `hidden beast` number, since 3 + 49 + 3 + 3 + 3 + 9 + 6 + 70 + 520 = 666.

It is a super-3 number, since 3×3493339670520³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2983987 + ... + 3986333.

It is an arithmetic number, because the mean of its divisors is an integer number (52097037300).

Almost surely, 2^{3493339670520} is an apocalyptic number.

3493339670520 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 3493339670520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668420774400).

3493339670520 is an abundant number, since it is smaller than the sum of its proper divisors (9843501878280).

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

3493339670520 is a wasteful number, since it uses less digits than its factorization.

3493339670520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002835 (or 1002825 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 3493339670520 in words is "three trillion, four hundred ninety-three billion, three hundred thirty-nine million, six hundred seventy thousand, five hundred twenty".