3680521184340 has 1440 divisors, whose sum is σ = 15813375621120. Its totient is φ = 695728051200.

The previous prime is 3680521184309. The next prime is 3680521184357. The reversal of 3680521184340 is 434811250863.

3680521184340 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 521 + 1 + 84 + 3 + 40 = 666.

It is a super-2 number, since 2×3680521184340² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1496754031 + ... + 1496756489.

It is an arithmetic number, because the mean of its divisors is an integer number (10981510848).

Almost surely, 2^{3680521184340} is an apocalyptic number.

3680521184340 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 3680521184340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906687810560).

3680521184340 is an abundant number, since it is smaller than the sum of its proper divisors (12132854436780).

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

3680521184340 is a wasteful number, since it uses less digits than its factorization.

3680521184340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3680521184340 in words is "three trillion, six hundred eighty billion, five hundred twenty-one million, one hundred eighty-four thousand, three hundred forty".