3453606747360 has 1152 divisors, whose sum is σ = 16094584396800. Its totient is φ = 652118261760.

The previous prime is 3453606747341. The next prime is 3453606747391. The reversal of 3453606747360 is 637476063543.

3453606747360 is a `hidden beast` number, since 3 + 4 + 53 + 6 + 0 + 67 + 473 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3453606747297 and 3453606747306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54632251 + ... + 54695429.

It is an arithmetic number, because the mean of its divisors is an integer number (13970993400).

Almost surely, 2^{3453606747360} is an apocalyptic number.

3453606747360 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 3453606747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047292198400).

3453606747360 is an abundant number, since it is smaller than the sum of its proper divisors (12640977649440).

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

3453606747360 is a wasteful number, since it uses less digits than its factorization.

3453606747360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63264 (or 63253 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 3453606747360 in words is "three trillion, four hundred fifty-three billion, six hundred six million, seven hundred forty-seven thousand, three hundred sixty".