3669943680 has 768 divisors, whose sum is σ = 15314443200. Its totient is φ = 822804480.

The previous prime is 3669943619. The next prime is 3669943681. The reversal of 3669943680 is 863499663.

It is a happy number.

It is a super-2 number, since 2×3669943680² = 26936973228743884800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669943681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 118385265 + ... + 118385295.

Almost surely, 2^3669943680 is an apocalyptic number.

3669943680 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 3669943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657221600).

3669943680 is an abundant number, since it is smaller than the sum of its proper divisors (11644499520).

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

3669943680 is a wasteful number, since it uses less digits than its factorization.

3669943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3669943680 is about 60580.0600858071. The cubic root of 3669943680 is about 1542.4809170831.

The spelling of 3669943680 in words is "three billion, six hundred sixty-nine million, nine hundred forty-three thousand, six hundred eighty".