3249265536 has 256 divisors, whose sum is σ = 10559692800. Its totient is φ = 975421440.

The previous prime is 3249265517. The next prime is 3249265553. The reversal of 3249265536 is 6355629423.

3249265536 is a `hidden beast` number, since 3 + 2 + 4 + 92 + 6 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3249265491 and 3249265500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4827696 + ... + 4828368.

It is an arithmetic number, because the mean of its divisors is an integer number (41248800).

Almost surely, 2^3249265536 is an apocalyptic number.

3249265536 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 3249265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279846400).

3249265536 is an abundant number, since it is smaller than the sum of its proper divisors (7310427264).

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

3249265536 is a wasteful number, since it uses less digits than its factorization.

3249265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 3249265536 is about 57002.3292155680. The cubic root of 3249265536 is about 1481.1364439145.

The spelling of 3249265536 in words is "three billion, two hundred forty-nine million, two hundred sixty-five thousand, five hundred thirty-six".