3646697771840 has 84 divisors (see below), whose sum is σ = 8698780634916. Its totient is φ = 1456150106112.

The previous prime is 3646697771791. The next prime is 3646697771867. The reversal of 3646697771840 is 481777966463.

It can be written as a sum of positive squares in 2 ways, for example, as 1513766043904 + 2132931727936 = 1230352^2 + 1460456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110245544 + ... + 110278616.

Almost surely, 2^{3646697771840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646697771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349390317458).

3646697771840 is an abundant number, since it is smaller than the sum of its proper divisors (5052082863076).

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

3646697771840 is an frugal number, since it uses more digits than its factorization.

3646697771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34264 (or 33667 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 68.

The spelling of 3646697771840 in words is "three trillion, six hundred forty-six billion, six hundred ninety-seven million, seven hundred seventy-one thousand, eight hundred forty".