3248273952 has 144 divisors (see below), whose sum is σ = 11516686272. Its totient is φ = 843701760.

The previous prime is 3248273947. The next prime is 3248273983. The reversal of 3248273952 is 2593728423.

3248273952 is a `hidden beast` number, since 324 + 8 + 273 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3248273898 and 3248273907.

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 23 ways as a sum of consecutive naturals, for example, 51063 + ... + 95414.

It is an arithmetic number, because the mean of its divisors is an integer number (79976988).

Almost surely, 2^3248273952 is an apocalyptic number.

3248273952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3248273952 is an abundant number, since it is smaller than the sum of its proper divisors (8268412320).

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

3248273952 is a wasteful number, since it uses less digits than its factorization.

3248273952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146511 (or 146500 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3248273952 is about 56993.6308020466. The cubic root of 3248273952 is about 1480.9857615929.

The spelling of 3248273952 in words is "three billion, two hundred forty-eight million, two hundred seventy-three thousand, nine hundred fifty-two".