3436384536 has 192 divisors, whose sum is σ = 10614240000. Its totient is φ = 995639040.

The previous prime is 3436384519. The next prime is 3436384543. The reversal of 3436384536 is 6354836343.

3436384536 is a `hidden beast` number, since 3 + 4 + 3 + 638 + 4 + 5 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3436384491 and 3436384500.

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 47 ways as a sum of consecutive naturals, for example, 3538531 + ... + 3539501.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 2^3436384536 is an apocalyptic number.

3436384536 is a gapful number since it is divisible by the number (36) 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 3436384536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120000).

3436384536 is an abundant number, since it is smaller than the sum of its proper divisors (7177855464).

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

3436384536 is a wasteful number, since it uses less digits than its factorization.

3436384536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1207 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The square root of 3436384536 is about 58620.6835169977. The cubic root of 3436384536 is about 1509.0394218101.

The spelling of 3436384536 in words is "three billion, four hundred thirty-six million, three hundred eighty-four thousand, five hundred thirty-six".