3506705664400 has 135 divisors (see below), whose sum is σ = 8512771841091. Its totient is φ = 1388195677440.

The previous prime is 3506705664389. The next prime is 3506705664401. The reversal of 3506705664400 is 44665076053.

The square root of 3506705664400 is 1872620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12856838544 + 3493848825856 = 113388^2 + 1869184^2 .

It is a super-3 number, since 3×3506705664400³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3506705664401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4082311171 + ... + 4082312029.

Almost surely, 2^{3506705664400} is an apocalyptic number.

3506705664400 is the 1872620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506705664400

3506705664400 is an abundant number, since it is smaller than the sum of its proper divisors (5006066176691).

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

3506705664400 is an frugal number, since it uses more digits than its factorization.

3506705664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 3506705664400 in words is "three trillion, five hundred six billion, seven hundred five million, six hundred sixty-four thousand, four hundred".