3249469440 has 768 divisors, whose sum is σ = 13963622400. Its totient is φ = 700710912.

The previous prime is 3249469423. The next prime is 3249469481. The reversal of 3249469440 is 449649423.

3249469440 is a `hidden beast` number, since 32 + 494 + 6 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44513244 + ... + 44513316.

It is an arithmetic number, because the mean of its divisors is an integer number (18181800).

Almost surely, 2^3249469440 is an apocalyptic number.

3249469440 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 3249469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981811200).

3249469440 is an abundant number, since it is smaller than the sum of its proper divisors (10714152960).

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

3249469440 is a wasteful number, since it uses less digits than its factorization.

3249469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3249469440 is about 57004.1177460015. The cubic root of 3249469440 is about 1481.1674256164.

The spelling of 3249469440 in words is "three billion, two hundred forty-nine million, four hundred sixty-nine thousand, four hundred forty".