3649891468608 has 672 divisors, whose sum is σ = 13631465548800. Its totient is φ = 946986163200.

The previous prime is 3649891468607. The next prime is 3649891468667. The reversal of 3649891468608 is 8068641989463.

3649891468608 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 8 + 9 + 1 + 4 + 6 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649891468607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228504563 + ... + 1228507533.

Almost surely, 2^{3649891468608} 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 3649891468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815732774400).

3649891468608 is an abundant number, since it is smaller than the sum of its proper divisors (9981574080192).

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

3649891468608 is a wasteful number, since it uses less digits than its factorization.

3649891468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 3649891468608 in words is "three trillion, six hundred forty-nine billion, eight hundred ninety-one million, four hundred sixty-eight thousand, six hundred eight".