3649275260800 has 288 divisors, whose sum is σ = 10031683478040. Its totient is φ = 1303945113600.

The previous prime is 3649275260731. The next prime is 3649275260821. The reversal of 3649275260800 is 80625729463.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39931959 + ... + 40023241.

Almost surely, 2^{3649275260800} 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 3649275260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015841739020).

3649275260800 is an abundant number, since it is smaller than the sum of its proper divisors (6382408217240).

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

3649275260800 is a wasteful number, since it uses less digits than its factorization.

3649275260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91382 (or 91334 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 3649275260800 in words is "three trillion, six hundred forty-nine billion, two hundred seventy-five million, two hundred sixty thousand, eight hundred".