3490805760 has 192 divisors, whose sum is σ = 12028292640. Its totient is φ = 859176960.

The previous prime is 3490805743. The next prime is 3490805779. The reversal of 3490805760 is 675080943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394990 + ... + 403730.

Almost surely, 2^3490805760 is an apocalyptic number.

3490805760 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 3490805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014146320).

3490805760 is an abundant number, since it is smaller than the sum of its proper divisors (8537486880).

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

3490805760 is a wasteful number, since it uses less digits than its factorization.

3490805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3490805760 is about 59083.0412216568. The cubic root of 3490805760 is about 1516.9638378098.

The spelling of 3490805760 in words is "three billion, four hundred ninety million, eight hundred five thousand, seven hundred sixty".