4338683136 has 144 divisors (see below), whose sum is σ = 13505934400. Its totient is φ = 1370068992.

The previous prime is 4338683077. The next prime is 4338683137. The reversal of 4338683136 is 6313868334.

4338683136 is a `hidden beast` number, since 433 + 8 + 6 + 83 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4338683136² = 37648342709221588992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4338683091 and 4338683100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338683137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114810 + ... + 147846.

Almost surely, 2^4338683136 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 4338683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752967200).

4338683136 is an abundant number, since it is smaller than the sum of its proper divisors (9167251264).

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

4338683136 is a wasteful number, since it uses less digits than its factorization.

4338683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33081 (or 33061 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4338683136 is about 65868.6809948400. The cubic root of 4338683136 is about 1630.9950560487.

The spelling of 4338683136 in words is "four billion, three hundred thirty-eight million, six hundred eighty-three thousand, one hundred thirty-six".