3509829036 has 288 divisors, whose sum is σ = 11330323200. Its totient is φ = 934053120.

The previous prime is 3509829019. The next prime is 3509829047. The reversal of 3509829036 is 6309289053.

3509829036 is a `hidden beast` number, since 350 + 9 + 8 + 290 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3509828982 and 3509829000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6736456 + ... + 6736976.

It is an arithmetic number, because the mean of its divisors is an integer number (39341400).

Almost surely, 2^3509829036 is an apocalyptic number.

3509829036 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 3509829036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665161600).

3509829036 is an abundant number, since it is smaller than the sum of its proper divisors (7820494164).

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

3509829036 is a wasteful number, since it uses less digits than its factorization.

3509829036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3509829036 is about 59243.8101070483. The cubic root of 3509829036 is about 1519.7144310014.

The spelling of 3509829036 in words is "three billion, five hundred nine million, eight hundred twenty-nine thousand, thirty-six".