3513240404496 has 135 divisors (see below), whose sum is σ = 9930154422279. Its totient is φ = 1159526555136.

The previous prime is 3513240404491. The next prime is 3513240404521. The reversal of 3513240404496 is 6944040423153.

The square root of 3513240404496 is 1874364.

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

3513240404496 is a `hidden beast` number, since 3 + 51 + 32 + 40 + 40 + 4 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 997641392400 + 2515599012096 = 998820^2 + 1586064^2 .

It is not an unprimeable number, because it can be changed into a prime (3513240404491) 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, 2451667396 + ... + 2451668828.

Almost surely, 2^{3513240404496} is an apocalyptic number.

3513240404496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3513240404496 is the 1874364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3513240404496

3513240404496 is an abundant number, since it is smaller than the sum of its proper divisors (6416914017783).

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

3513240404496 is an equidigital number, since it uses as much as digits as its factorization.

3513240404496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3513240404496 in words is "three trillion, five hundred thirteen billion, two hundred forty million, four hundred four thousand, four hundred ninety-six".