3249353376 has 72 divisors (see below), whose sum is σ = 9254437920. Its totient is φ = 1081466496.

The previous prime is 3249353353. The next prime is 3249353389. The reversal of 3249353376 is 6733539423.

3249353376 is a `hidden beast` number, since 3 + 2 + 49 + 3 + 533 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 188445 + ... + 204963.

It is an arithmetic number, because the mean of its divisors is an integer number (128533860).

Almost surely, 2^3249353376 is an apocalyptic number.

3249353376 is a gapful number since it is divisible by the number (36) 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 3249353376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627218960).

3249353376 is an abundant number, since it is smaller than the sum of its proper divisors (6005084544).

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

3249353376 is a wasteful number, since it uses less digits than its factorization.

3249353376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17218 (or 17207 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 45.

The square root of 3249353376 is about 57003.0997051915. The cubic root of 3249353376 is about 1481.1497907105.

The spelling of 3249353376 in words is "three billion, two hundred forty-nine million, three hundred fifty-three thousand, three hundred seventy-six".