3453689352960 has 1440 divisors, whose sum is σ = 16218914342400. Its totient is φ = 679848837120.

The previous prime is 3453689352929. The next prime is 3453689353001. The reversal of 3453689352960 is 692539863543.

3453689352960 is a `hidden beast` number, since 3 + 4 + 536 + 8 + 9 + 3 + 5 + 2 + 96 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151672456 + ... + 151695224.

It is an arithmetic number, because the mean of its divisors is an integer number (11263134960).

Almost surely, 2^{3453689352960} is an apocalyptic number.

3453689352960 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 3453689352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109457171200).

3453689352960 is an abundant number, since it is smaller than the sum of its proper divisors (12765224989440).

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

3453689352960 is a wasteful number, since it uses less digits than its factorization.

3453689352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22839 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 3453689352960 in words is "three trillion, four hundred fifty-three billion, six hundred eighty-nine million, three hundred fifty-two thousand, nine hundred sixty".