3661042807296 has 640 divisors, whose sum is σ = 12887914406400. Its totient is φ = 1003971870720.

The previous prime is 3661042807291. The next prime is 3661042807321. The reversal of 3661042807296 is 6927082401663.

3661042807296 is a `hidden beast` number, since 3 + 6 + 61 + 0 + 428 + 0 + 72 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3661042807291) 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, 485481286 + ... + 485488826.

It is an arithmetic number, because the mean of its divisors is an integer number (20137366260).

Almost surely, 2^{3661042807296} is an apocalyptic number.

3661042807296 is a gapful number since it is divisible by the number (36) 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 3661042807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443957203200).

3661042807296 is an abundant number, since it is smaller than the sum of its proper divisors (9226871599104).

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

3661042807296 is a wasteful number, since it uses less digits than its factorization.

3661042807296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3661042807296 in words is "three trillion, six hundred sixty-one billion, forty-two million, eight hundred seven thousand, two hundred ninety-six".