3336642448640 has 288 divisors, whose sum is σ = 8423136933120. Its totient is φ = 1264666411008.

The previous prime is 3336642448637. The next prime is 3336642448649. The reversal of 3336642448640 is 468442466333.

It is a super-2 number, since 2×3336642448640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336642448649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432035819 + ... + 432043541.

It is an arithmetic number, because the mean of its divisors is an integer number (29247003240).

Almost surely, 2^{3336642448640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336642448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211568466560).

3336642448640 is an abundant number, since it is smaller than the sum of its proper divisors (5086494484480).

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

3336642448640 is a wasteful number, since it uses less digits than its factorization.

3336642448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 53.

The spelling of 3336642448640 in words is "three trillion, three hundred thirty-six billion, six hundred forty-two million, four hundred forty-eight thousand, six hundred forty".