3505763136 has 112 divisors (see below), whose sum is σ = 9695931840. Its totient is φ = 1116487680.

The previous prime is 3505763119. The next prime is 3505763161. The reversal of 3505763136 is 6313675053.

It is a junction number, because it is equal to n+sod(n) for n = 3505763094 and 3505763103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536851 + ... + 543341.

It is an arithmetic number, because the mean of its divisors is an integer number (86570820).

Almost surely, 2^3505763136 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 3505763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847965920).

3505763136 is an abundant number, since it is smaller than the sum of its proper divisors (6190168704).

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

3505763136 is a wasteful number, since it uses less digits than its factorization.

3505763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 39.

The square root of 3505763136 is about 59209.4851860747. The cubic root of 3505763136 is about 1519.1273753960.

The spelling of 3505763136 in words is "three billion, five hundred five million, seven hundred sixty-three thousand, one hundred thirty-six".