3308048640 has 576 divisors, whose sum is σ = 13048896000. Its totient is φ = 788299776.

The previous prime is 3308048617. The next prime is 3308048659. The reversal of 3308048640 is 468408033.

3308048640 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 0 + 4 + 8 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3308048595 and 3308048604.

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 63 ways as a sum of consecutive naturals, for example, 16623261 + ... + 16623459.

Almost surely, 2^3308048640 is an apocalyptic number.

3308048640 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 3308048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524448000).

3308048640 is an abundant number, since it is smaller than the sum of its proper divisors (9740847360).

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

3308048640 is a wasteful number, since it uses less digits than its factorization.

3308048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3308048640 is about 57515.6382212699. The cubic root of 3308048640 is about 1490.0149601369.

The spelling of 3308048640 in words is "three billion, three hundred eight million, forty-eight thousand, six hundred forty".