3249587264 has 224 divisors, whose sum is σ = 8637788160. Its totient is φ = 1174118400.

The previous prime is 3249587239. The next prime is 3249587267. The reversal of 3249587264 is 4627859423.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (3249587267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6618059 + ... + 6618549.

Almost surely, 2^3249587264 is an apocalyptic number.

3249587264 is a gapful number since it is divisible by the number (34) 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 3249587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318894080).

3249587264 is an abundant number, since it is smaller than the sum of its proper divisors (5388200896).

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

3249587264 is a wasteful number, since it uses less digits than its factorization.

3249587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The square root of 3249587264 is about 57005.1512058340. The cubic root of 3249587264 is about 1481.1853275093.

The spelling of 3249587264 in words is "three billion, two hundred forty-nine million, five hundred eighty-seven thousand, two hundred sixty-four".