3489619364352 has 720 divisors, whose sum is σ = 11524002684480. Its totient is φ = 1007935488000.

The previous prime is 3489619364327. The next prime is 3489619364359. The reversal of 3489619364352 is 2534639169843.

3489619364352 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 6 + 193 + 6 + 435 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3489619364352.

It is not an unprimeable number, because it can be changed into a prime (3489619364359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3458492424 + ... + 3458493432.

It is an arithmetic number, because the mean of its divisors is an integer number (16005559284).

Almost surely, 2^{3489619364352} is an apocalyptic number.

3489619364352 is a gapful number since it is divisible by the number (32) 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 3489619364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762001342240).

3489619364352 is an abundant number, since it is smaller than the sum of its proper divisors (8034383320128).

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

3489619364352 is a wasteful number, since it uses less digits than its factorization.

3489619364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1127 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 3489619364352 in words is "three trillion, four hundred eighty-nine billion, six hundred nineteen million, three hundred sixty-four thousand, three hundred fifty-two".