5338446120 has 432 divisors, whose sum is σ = 20771667540. Its totient is φ = 1185537024.

The previous prime is 5338446103. The next prime is 5338446133. The reversal of 5338446120 is 216448335.

5338446120 is a `hidden beast` number, since 5 + 3 + 38 + 4 + 4 + 612 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5334549444 + 3896676 = 73038^2 + 1974^2 .

It is a super-2 number, since 2×5338446120² = 56998013952286108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38966692 + ... + 38966828.

Almost surely, 2^5338446120 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 5338446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385833770).

5338446120 is an abundant number, since it is smaller than the sum of its proper divisors (15433221420).

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

5338446120 is a wasteful number, since it uses less digits than its factorization.

5338446120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5338446120 is about 73064.6708060743. The cubic root of 5338446120 is about 1747.7190549811.

The spelling of 5338446120 in words is "five billion, three hundred thirty-eight million, four hundred forty-six thousand, one hundred twenty".