3249830160 has 200 divisors, whose sum is σ = 11951496216. Its totient is φ = 815616000.

The previous prime is 3249830159. The next prime is 3249830197. The reversal of 3249830160 is 610389423.

3249830160 is a `hidden beast` number, since 3 + 2 + 498 + 3 + 0 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 532501776 + 2717328384 = 23076^2 + 52128^2 .

It is a super-2 number, since 2×3249830160² = 21122792137691251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 95410 + ... + 124910.

Almost surely, 2^3249830160 is an apocalyptic number.

3249830160 is a gapful number since it is divisible by the number (30) 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 3249830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975748108).

3249830160 is an abundant number, since it is smaller than the sum of its proper divisors (8701666056).

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

3249830160 is a wasteful number, since it uses less digits than its factorization.

3249830160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29543 (or 29528 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3249830160 is about 57007.2816401554. The cubic root of 3249830160 is about 1481.2222311731. Note that the first 4 decimals are identical.

The spelling of 3249830160 in words is "three billion, two hundred forty-nine million, eight hundred thirty thousand, one hundred sixty".