3505960972800 has 3600 divisors, whose sum is σ = 16381410531552. Its totient is φ = 731499724800.

The previous prime is 3505960972741. The next prime is 3505960972819. The reversal of 3505960972800 is 82790695053.

3505960972800 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 9 + 609 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 32765990347 + ... + 32765990453.

Almost surely, 2^{3505960972800} is an apocalyptic number.

3505960972800 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 3505960972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190705265776).

3505960972800 is an abundant number, since it is smaller than the sum of its proper divisors (12875449558752).

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

3505960972800 is a wasteful number, since it uses less digits than its factorization.

3505960972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 3505960972800 in words is "three trillion, five hundred five billion, nine hundred sixty million, nine hundred seventy-two thousand, eight hundred".