3639301344 has 360 divisors, whose sum is σ = 12754745640. Its totient is φ = 981517824.

The previous prime is 3639301313. The next prime is 3639301357. The reversal of 3639301344 is 4431039363.

3639301344 is a `hidden beast` number, since 3 + 6 + 3 + 9 + 301 + 344 = 666.

3639301344 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3639301299 and 3639301308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13138134 + ... + 13138410.

It is an arithmetic number, because the mean of its divisors is an integer number (35429849).

Almost surely, 2^3639301344 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 3639301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377372820).

3639301344 is an abundant number, since it is smaller than the sum of its proper divisors (9115444296).

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

3639301344 is a wasteful number, since it uses less digits than its factorization.

3639301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3639301344 is about 60326.6221829136. The cubic root of 3639301344 is about 1538.1759118957.

The spelling of 3639301344 in words is "three billion, six hundred thirty-nine million, three hundred one thousand, three hundred forty-four".