3294648240 has 240 divisors, whose sum is σ = 11444937120. Its totient is φ = 782745600.

The previous prime is 3294648173. The next prime is 3294648277. The reversal of 3294648240 is 428464923.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3294648192 and 3294648201.

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 47 ways as a sum of consecutive naturals, for example, 1174840 + ... + 1177640.

It is an arithmetic number, because the mean of its divisors is an integer number (47687238).

Almost surely, 2^3294648240 is an apocalyptic number.

3294648240 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 3294648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722468560).

3294648240 is an abundant number, since it is smaller than the sum of its proper divisors (8150288880).

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

3294648240 is a wasteful number, since it uses less digits than its factorization.

3294648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3294648240 is about 57399.0264725805. The cubic root of 3294648240 is about 1488.0002962770. Note that the first 3 decimals are identical.

The spelling of 3294648240 in words is "three billion, two hundred ninety-four million, six hundred forty-eight thousand, two hundred forty".