3609061505280 has 1728 divisors, whose sum is σ = 16669005889536. Its totient is φ = 725594112000.

The previous prime is 3609061505261. The next prime is 3609061505281. The reversal of 3609061505280 is 825051609063.

3609061505280 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 0 + 61 + 505 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (3609061505281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742450050 + ... + 742454910.

Almost surely, 2^{3609061505280} is an apocalyptic number.

3609061505280 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 3609061505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334502944768).

3609061505280 is an abundant number, since it is smaller than the sum of its proper divisors (13059944384256).

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

3609061505280 is a wasteful number, since it uses less digits than its factorization.

3609061505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 3609061505280 in words is "three trillion, six hundred nine billion, sixty-one million, five hundred five thousand, two hundred eighty".