3450454560 has 432 divisors, whose sum is σ = 13892860800. Its totient is φ = 777434112.

The previous prime is 3450454541. The next prime is 3450454561. The reversal of 3450454560 is 654540543.

3450454560 is a `hidden beast` number, since 3 + 4 + 50 + 4 + 545 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3450454561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5573931 + ... + 5574549.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^3450454560 is an apocalyptic number.

3450454560 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 3450454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946430400).

3450454560 is an abundant number, since it is smaller than the sum of its proper divisors (10442406240).

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

3450454560 is a wasteful number, since it uses less digits than its factorization.

3450454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 3450454560 is about 58740.5699665912. The cubic root of 3450454560 is about 1511.0961676403.

The spelling of 3450454560 in words is "three billion, four hundred fifty million, four hundred fifty-four thousand, five hundred sixty".