3249346560 has 288 divisors, whose sum is σ = 11008735920. Its totient is φ = 818085888.

The previous prime is 3249346543. The next prime is 3249346577. The reversal of 3249346560 is 656439423.

It is an interprime number because it is at equal distance from previous prime (3249346543) and next prime (3249346577).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11089774 + ... + 11090066.

Almost surely, 2^3249346560 is an apocalyptic number.

3249346560 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 3249346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504367960).

3249346560 is an abundant number, since it is smaller than the sum of its proper divisors (7759389360).

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

3249346560 is a wasteful number, since it uses less digits than its factorization.

3249346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 3249346560 is about 57003.0399189377. The cubic root of 3249346560 is about 1481.1487550661.

The spelling of 3249346560 in words is "three billion, two hundred forty-nine million, three hundred forty-six thousand, five hundred sixty".