3499317748080 has 3200 divisors, whose sum is σ = 16869777408000. Its totient is φ = 666639590400.

The previous prime is 3499317748039. The next prime is 3499317748093. The reversal of 3499317748080 is 808477139943.

3499317748080 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 3 + 1 + 77 + 480 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3499317747999 and 3499317748017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 112881217665 + ... + 112881217695.

It is an arithmetic number, because the mean of its divisors is an integer number (5271805440).

Almost surely, 2^{3499317748080} is an apocalyptic number.

3499317748080 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 3499317748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8434888704000).

3499317748080 is an abundant number, since it is smaller than the sum of its proper divisors (13370459659920).

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

3499317748080 is an equidigital number, since it uses as much as digits as its factorization.

3499317748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3499317748080 in words is "three trillion, four hundred ninety-nine billion, three hundred seventeen million, seven hundred forty-eight thousand, eighty".