3668449396320 has 960 divisors, whose sum is σ = 14653849262976. Its totient is φ = 859149434880.

The previous prime is 3668449396309. The next prime is 3668449396349. The reversal of 3668449396320 is 236939448663.

It is a happy number.

3668449396320 is a `hidden beast` number, since 3 + 6 + 6 + 84 + 493 + 9 + 63 + 2 + 0 = 666.

It is a super-3 number, since 3×3668449396320³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207752932 + ... + 207770588.

Almost surely, 2^{3668449396320} is an apocalyptic number.

3668449396320 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 3668449396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326924631488).

3668449396320 is an abundant number, since it is smaller than the sum of its proper divisors (10985399866656).

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

3668449396320 is a wasteful number, since it uses less digits than its factorization.

3668449396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17765 (or 17748 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 3668449396320 in words is "three trillion, six hundred sixty-eight billion, four hundred forty-nine million, three hundred ninety-six thousand, three hundred twenty".