3451056720804 has 243 divisors, whose sum is σ = 11156913222273. Its totient is φ = 896155444800.

The previous prime is 3451056720773. The next prime is 3451056720833. The reversal of 3451056720804 is 4080276501543.

The square root of 3451056720804 is 1857702.

It is a perfect power (a square), and thus also a powerful number.

3451056720804 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 0 + 567 + 2 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 204573480804 + 3246483240000 = 452298^2 + 1801800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3451056720804.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 858256314 + ... + 858260334.

Almost surely, 2^{3451056720804} is an apocalyptic number.

3451056720804 is the 1857702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451056720804

3451056720804 is an abundant number, since it is smaller than the sum of its proper divisors (7705856501469).

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

3451056720804 is a wasteful number, since it uses less digits than its factorization.

3451056720804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3451056720804 in words is "three trillion, four hundred fifty-one billion, fifty-six million, seven hundred twenty thousand, eight hundred four".