3649398718464 has 180 divisors, whose sum is σ = 10576416920160. Its totient is φ = 1212539535360.

The previous prime is 3649398718417. The next prime is 3649398718513. The reversal of 3649398718464 is 4648178939463.

It is a happy number.

3649398718464 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 3 + 98 + 71 + 8 + 464 = 666.

It is a super-2 number, since 2×3649398718464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3649398718392 and 3649398718401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45819027 + ... + 45898605.

Almost surely, 2^{3649398718464} 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 3649398718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288208460080).

3649398718464 is an abundant number, since it is smaller than the sum of its proper divisors (6927018201696).

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

3649398718464 is an equidigital number, since it uses as much as digits as its factorization.

3649398718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79924 (or 79895 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 3649398718464 in words is "three trillion, six hundred forty-nine billion, three hundred ninety-eight million, seven hundred eighteen thousand, four hundred sixty-four".