3249442560 has 576 divisors, whose sum is σ = 13548874752. Its totient is φ = 644087808.

The previous prime is 3249442549. The next prime is 3249442597. The reversal of 3249442560 is 652449423.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5940207 + ... + 5940753.

It is an arithmetic number, because the mean of its divisors is an integer number (23522352).

Almost surely, 2^3249442560 is an apocalyptic number.

3249442560 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 3249442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774437376).

3249442560 is an abundant number, since it is smaller than the sum of its proper divisors (10299432192).

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

3249442560 is a wasteful number, since it uses less digits than its factorization.

3249442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3249442560 is about 57003.8819730727. The cubic root of 3249442560 is about 1481.1633414737.

The spelling of 3249442560 in words is "three billion, two hundred forty-nine million, four hundred forty-two thousand, five hundred sixty".