3453056640 has 192 divisors, whose sum is σ = 13008060000. Its totient is φ = 837089280.

The previous prime is 3453056611. The next prime is 3453056647. The reversal of 3453056640 is 466503543.

3453056640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 3453056595 and 3453056604.

It is not an unprimeable number, because it can be changed into a prime (3453056647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36111 + ... + 90609.

Almost surely, 2^3453056640 is an apocalyptic number.

3453056640 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 3453056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504030000).

3453056640 is an abundant number, since it is smaller than the sum of its proper divisors (9555003360).

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

3453056640 is a wasteful number, since it uses less digits than its factorization.

3453056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54535 (or 54520 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3453056640 is about 58762.7147092440. The cubic root of 3453056640 is about 1511.4759248630.

The spelling of 3453056640 in words is "three billion, four hundred fifty-three million, fifty-six thousand, six hundred forty".