3482253192960 has 1440 divisors, whose sum is σ = 13676027904000. Its totient is φ = 842764124160.

The previous prime is 3482253192953. The next prime is 3482253192967. The reversal of 3482253192960 is 692913522843.

3482253192960 is a `hidden beast` number, since 3 + 4 + 8 + 22 + 531 + 9 + 29 + 60 = 666.

3482253192960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3482253192953) and next prime (3482253192967).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3482253192960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3482253192897 and 3482253192906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482253192967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7755574816 + ... + 7755575264.

It is an arithmetic number, because the mean of its divisors is an integer number (9497241600).

Almost surely, 2^{3482253192960} is an apocalyptic number.

3482253192960 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 3482253192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838013952000).

3482253192960 is an abundant number, since it is smaller than the sum of its proper divisors (10193774711040).

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

3482253192960 is a wasteful number, since it uses less digits than its factorization.

3482253192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3482253192960 in words is "three trillion, four hundred eighty-two billion, two hundred fifty-three million, one hundred ninety-two thousand, nine hundred sixty".