4365684120 has 256 divisors, whose sum is σ = 15527116800. Its totient is φ = 960929280.

The previous prime is 4365684109. The next prime is 4365684137. The reversal of 4365684120 is 214865634.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9348127 + ... + 9348593.

It is an arithmetic number, because the mean of its divisors is an integer number (60652800).

Almost surely, 2^4365684120 is an apocalyptic number.

4365684120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4365684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763558400).

4365684120 is an abundant number, since it is smaller than the sum of its proper divisors (11161432680).

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

4365684120 is a wasteful number, since it uses less digits than its factorization.

4365684120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4365684120 is about 66073.3238152887. The cubic root of 4365684120 is about 1634.3714592502.

The spelling of 4365684120 in words is "four billion, three hundred sixty-five million, six hundred eighty-four thousand, one hundred twenty".