3668520780 has 240 divisors, whose sum is σ = 12581243136. Its totient is φ = 890818560.

The previous prime is 3668520731. The next prime is 3668520799. The reversal of 3668520780 is 870258663.

3668520780 is a `hidden beast` number, since 366 + 8 + 5 + 207 + 80 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 851592 + ... + 855888.

Almost surely, 2^3668520780 is an apocalyptic number.

3668520780 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 3668520780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290621568).

3668520780 is an abundant number, since it is smaller than the sum of its proper divisors (8912722356).

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

3668520780 is a wasteful number, since it uses less digits than its factorization.

3668520780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3668520780 is about 60568.3149839914. The cubic root of 3668520780 is about 1542.2815425602.

The spelling of 3668520780 in words is "three billion, six hundred sixty-eight million, five hundred twenty thousand, seven hundred eighty".