3274846848 has 576 divisors, whose sum is σ = 12229963200. Its totient is φ = 853991424.

The previous prime is 3274846831. The next prime is 3274846873. The reversal of 3274846848 is 8486484723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 3274846794 and 3274846803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36795988 + ... + 36796076.

It is an arithmetic number, because the mean of its divisors is an integer number (21232575).

Almost surely, 2^3274846848 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 3274846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114981600).

3274846848 is an abundant number, since it is smaller than the sum of its proper divisors (8955116352).

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

3274846848 is an equidigital number, since it uses as much as digits as its factorization.

3274846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The square root of 3274846848 is about 57226.2776004171. The cubic root of 3274846848 is about 1485.0132597530.

The spelling of 3274846848 in words is "three billion, two hundred seventy-four million, eight hundred forty-six thousand, eight hundred forty-eight".