3490667701248 has 792 divisors, whose sum is σ = 11988156785472. Its totient is φ = 895046713344.

The previous prime is 3490667701201. The next prime is 3490667701327. The reversal of 3490667701248 is 8421077660943.

It is a super-2 number, since 2×3490667701248² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2678946165 + ... + 2678947467.

Almost surely, 2^{3490667701248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490667701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994078392736).

3490667701248 is an abundant number, since it is smaller than the sum of its proper divisors (8497489084224).

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

3490667701248 is a wasteful number, since it uses less digits than its factorization.

3490667701248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 3490667701248 in words is "three trillion, four hundred ninety billion, six hundred sixty-seven million, seven hundred one thousand, two hundred forty-eight".