3641066520 has 768 divisors, whose sum is σ = 15168384000. Its totient is φ = 689762304.

The previous prime is 3641066519. The next prime is 3641066521. The reversal of 3641066520 is 256601463.

It is an interprime number because it is at equal distance from previous prime (3641066519) and next prime (3641066521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641066521) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 33404226 + ... + 33404334.

It is an arithmetic number, because the mean of its divisors is an integer number (19750500).

Almost surely, 2^3641066520 is an apocalyptic number.

3641066520 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 3641066520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584192000).

3641066520 is an abundant number, since it is smaller than the sum of its proper divisors (11527317480).

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

3641066520 is a wasteful number, since it uses less digits than its factorization.

3641066520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3641066520 is about 60341.2505670872. The cubic root of 3641066520 is about 1538.4245596522.

Adding to 3641066520 its reverse (256601463), we get a palindrome (3897667983).

The spelling of 3641066520 in words is "three billion, six hundred forty-one million, sixty-six thousand, five hundred twenty".