3249805120 has 56 divisors (see below), whose sum is σ = 7775435808. Its totient is φ = 1293734400.

The previous prime is 3249805093. The next prime is 3249805123. The reversal of 3249805120 is 215089423.

It is a super-2 number, since 2×3249805120² = 21122466635956428800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249805123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43455 + ... + 91585.

It is an arithmetic number, because the mean of its divisors is an integer number (138847068).

Almost surely, 2^3249805120 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 3249805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887717904).

3249805120 is an abundant number, since it is smaller than the sum of its proper divisors (4525630688).

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

3249805120 is a wasteful number, since it uses less digits than its factorization.

3249805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48359 (or 48349 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 3249805120 is about 57007.0620186657. The cubic root of 3249805120 is about 1481.2184268820.

The spelling of 3249805120 in words is "three billion, two hundred forty-nine million, eight hundred five thousand, one hundred twenty".