3666341888640 has 1024 divisors, whose sum is σ = 14559891264000. Its totient is φ = 866482126848.

The previous prime is 3666341888603. The next prime is 3666341888641. The reversal of 3666341888640 is 468881436663.

It is a super-2 number, since 2×3666341888640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3666341888641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 965587222 + ... + 965591018.

Almost surely, 2^{3666341888640} is an apocalyptic number.

3666341888640 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 3666341888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279945632000).

3666341888640 is an abundant number, since it is smaller than the sum of its proper divisors (10893549375360).

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

3666341888640 is a wasteful number, since it uses less digits than its factorization.

3666341888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 3666341888640 in words is "three trillion, six hundred sixty-six billion, three hundred forty-one million, eight hundred eighty-eight thousand, six hundred forty".