3489180963840 has 3168 divisors, whose sum is σ = 15981672470400. Its totient is φ = 691155763200.

The previous prime is 3489180963803. The next prime is 3489180963911. The reversal of 3489180963840 is 483690819843.

3489180963840 is a `hidden beast` number, since 3 + 4 + 8 + 91 + 80 + 96 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112554224625 + ... + 112554224655.

Almost surely, 2^{3489180963840} is an apocalyptic number.

3489180963840 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 3489180963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990836235200).

3489180963840 is an abundant number, since it is smaller than the sum of its proper divisors (12492491506560).

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

3489180963840 is a wasteful number, since it uses less digits than its factorization.

3489180963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3489180963840 in words is "three trillion, four hundred eighty-nine billion, one hundred eighty million, nine hundred sixty-three thousand, eight hundred forty".