3561810513408 has 640 divisors, whose sum is σ = 12702615552000. Its totient is φ = 962651381760.

The previous prime is 3561810513397. The next prime is 3561810513409. The reversal of 3561810513408 is 8043150181653.

3561810513408 is a `hidden beast` number, since 3 + 5 + 618 + 10 + 5 + 13 + 4 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561810513409) 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 63 ways as a sum of consecutive naturals, for example, 1895587413 + ... + 1895589291.

It is an arithmetic number, because the mean of its divisors is an integer number (19847836800).

Almost surely, 2^{3561810513408} is an apocalyptic number.

3561810513408 is a gapful number since it is divisible by the number (38) 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 3561810513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351307776000).

3561810513408 is an abundant number, since it is smaller than the sum of its proper divisors (9140805038592).

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

3561810513408 is a wasteful number, since it uses less digits than its factorization.

3561810513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 3561810513408 in words is "three trillion, five hundred sixty-one billion, eight hundred ten million, five hundred thirteen thousand, four hundred eight".