3506823936 has 432 divisors, whose sum is σ = 13048896000. Its totient is φ = 909342720.

The previous prime is 3506823923. The next prime is 3506823967. The reversal of 3506823936 is 6393286053.

3506823936 is a `hidden beast` number, since 3 + 506 + 82 + 39 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 3506823891 and 3506823900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5854165 + ... + 5854763.

Almost surely, 2^3506823936 is an apocalyptic number.

3506823936 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 3506823936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524448000).

3506823936 is an abundant number, since it is smaller than the sum of its proper divisors (9542072064).

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

3506823936 is a wasteful number, since it uses less digits than its factorization.

3506823936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3506823936 is about 59218.4425327110. The cubic root of 3506823936 is about 1519.2805829141.

It can be divided in two parts, 350 and 6823936, that added together give a palindrome (6824286).

The spelling of 3506823936 in words is "three billion, five hundred six million, eight hundred twenty-three thousand, nine hundred thirty-six".