3301788672 has 528 divisors, whose sum is σ = 12207849472. Its totient is φ = 836075520.

The previous prime is 3301788653. The next prime is 3301788683. The reversal of 3301788672 is 2768871033.

3301788672 is a `hidden beast` number, since 330 + 178 + 86 + 72 = 666.

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 47 ways as a sum of consecutive naturals, for example, 25998273 + ... + 25998399.

Almost surely, 2^3301788672 is an apocalyptic number.

3301788672 is a gapful number since it is divisible by the number (32) 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 3301788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103924736).

3301788672 is an abundant number, since it is smaller than the sum of its proper divisors (8906060800).

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

3301788672 is a wasteful number, since it uses less digits than its factorization.

3301788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3301788672 is about 57461.1927478015. The cubic root of 3301788672 is about 1489.0744927335.

The spelling of 3301788672 in words is "three billion, three hundred one million, seven hundred eighty-eight thousand, six hundred seventy-two".