3249961344 has 192 divisors, whose sum is σ = 10723415040. Its totient is φ = 925498368.

The previous prime is 3249961333. The next prime is 3249961361. The reversal of 3249961344 is 4431699423.

3249961344 is a `hidden beast` number, since 3 + 24 + 9 + 9 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3249961344.

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, 3765457 + ... + 3766319.

It is an arithmetic number, because the mean of its divisors is an integer number (55851120).

Almost surely, 2^3249961344 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 3249961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361707520).

3249961344 is an abundant number, since it is smaller than the sum of its proper divisors (7473453696).

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

3249961344 is a wasteful number, since it uses less digits than its factorization.

3249961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3249961344 is about 57008.4322184008. The cubic root of 3249961344 is about 1481.2421614497.

The spelling of 3249961344 in words is "three billion, two hundred forty-nine million, nine hundred sixty-one thousand, three hundred forty-four".