3654829284288 has 896 divisors, whose sum is σ = 12869383618560. Its totient is φ = 888807997440.

The previous prime is 3654829284241. The next prime is 3654829284373. The reversal of 3654829284288 is 8824829284563.

3654829284288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4945641423 + ... + 4945642161.

It is an arithmetic number, because the mean of its divisors is an integer number (14363151360).

Almost surely, 2^{3654829284288} 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 3654829284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434691809280).

3654829284288 is an abundant number, since it is smaller than the sum of its proper divisors (9214554334272).

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

3654829284288 is a wasteful number, since it uses less digits than its factorization.

3654829284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 69.

The spelling of 3654829284288 in words is "three trillion, six hundred fifty-four billion, eight hundred twenty-nine million, two hundred eighty-four thousand, two hundred eighty-eight".