3496720777920 has 336 divisors, whose sum is σ = 13129180995840. Its totient is φ = 883381718016.

The previous prime is 3496720777889. The next prime is 3496720777967. The reversal of 3496720777920 is 297770276943.

3496720777920 is a `hidden beast` number, since 3 + 496 + 7 + 2 + 0 + 77 + 79 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 294069 + ... + 2660811.

It is an arithmetic number, because the mean of its divisors is an integer number (39074943440).

Almost surely, 2^{3496720777920} is an apocalyptic number.

3496720777920 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 3496720777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564590497920).

3496720777920 is an abundant number, since it is smaller than the sum of its proper divisors (9632460217920).

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

3496720777920 is a wasteful number, since it uses less digits than its factorization.

3496720777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366794 (or 2366772 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 3496720777920 in words is "three trillion, four hundred ninety-six billion, seven hundred twenty million, seven hundred seventy-seven thousand, nine hundred twenty".