3661761309360 has 2880 divisors, whose sum is σ = 16763767050240. Its totient is φ = 653996851200.

The previous prime is 3661761309331. The next prime is 3661761309361. The reversal of 3661761309360 is 639031671663.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3661761309361) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14248098352 + ... + 14248098608.

It is an arithmetic number, because the mean of its divisors is an integer number (5820752448).

Almost surely, 2^{3661761309360} is an apocalyptic number.

3661761309360 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 3661761309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381883525120).

3661761309360 is an abundant number, since it is smaller than the sum of its proper divisors (13102005740880).

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

3661761309360 is a wasteful number, since it uses less digits than its factorization.

3661761309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 51.

The spelling of 3661761309360 in words is "three trillion, six hundred sixty-one billion, seven hundred sixty-one million, three hundred nine thousand, three hundred sixty".