3668465360 has 120 divisors (see below), whose sum is σ = 10505521800. Its totient is φ = 1183752192.

The previous prime is 3668465357. The next prime is 3668465371. The reversal of 3668465360 is 635648663.

It can be written as a sum of positive squares in 4 ways, for example, as 1567526464 + 2100938896 = 39592^2 + 45836^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39116 + ... + 94164.

It is an arithmetic number, because the mean of its divisors is an integer number (87546015).

Almost surely, 2^3668465360 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 3668465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252760900).

3668465360 is an abundant number, since it is smaller than the sum of its proper divisors (6837056440).

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

3668465360 is a wasteful number, since it uses less digits than its factorization.

3668465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55093 (or 55080 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 47.

The square root of 3668465360 is about 60567.8574823313. The cubic root of 3668465360 is about 1542.2737761534.

The spelling of 3668465360 in words is "three billion, six hundred sixty-eight million, four hundred sixty-five thousand, three hundred sixty".