3561206077260 has 384 divisors, whose sum is σ = 12094352793600. Its totient is φ = 864666316800.

The previous prime is 3561206077241. The next prime is 3561206077267. The reversal of 3561206077260 is 627706021653.

3561206077260 is a `hidden beast` number, since 3 + 5 + 6 + 12 + 0 + 607 + 7 + 26 + 0 = 666.

3561206077260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3561206077267) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 719287785 + ... + 719292735.

It is an arithmetic number, because the mean of its divisors is an integer number (31495710400).

Almost surely, 2^{3561206077260} is an apocalyptic number.

3561206077260 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 3561206077260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047176396800).

3561206077260 is an abundant number, since it is smaller than the sum of its proper divisors (8533146716340).

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

3561206077260 is a wasteful number, since it uses less digits than its factorization.

3561206077260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3561206077260 in words is "three trillion, five hundred sixty-one billion, two hundred six million, seventy-seven thousand, two hundred sixty".