3610370050560 has 1680 divisors, whose sum is σ = 16264387278216. Its totient is φ = 761497583616.

The previous prime is 3610370050559. The next prime is 3610370050627. The reversal of 3610370050560 is 650500730163.

It is a happy number.

3610370050560 is a `hidden beast` number, since 3 + 6 + 10 + 37 + 0 + 0 + 50 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2877990103296 + 732379947264 = 1696464^2 + 855792^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1188793362 + ... + 1188796398.

Almost surely, 2^{3610370050560} is an apocalyptic number.

3610370050560 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 3610370050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132193639108).

3610370050560 is an abundant number, since it is smaller than the sum of its proper divisors (12654017227656).

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

3610370050560 is an equidigital number, since it uses as much as digits as its factorization.

3610370050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 3610370050560 in words is "three trillion, six hundred ten billion, three hundred seventy million, fifty thousand, five hundred sixty".