3300647040 has 192 divisors, whose sum is σ = 11433965400. Its totient is φ = 877363200.

The previous prime is 3300647029. The next prime is 3300647041. The reversal of 3300647040 is 407460033.

It can be written as a sum of positive squares in 4 ways, for example, as 2841316416 + 459330624 = 53304^2 + 21432^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3300646995 and 3300647013.

It is not an unprimeable number, because it can be changed into a prime (3300647041) by changing a digit.

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, 2309046 + ... + 2310474.

Almost surely, 2^3300647040 is an apocalyptic number.

3300647040 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 3300647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716982700).

3300647040 is an abundant number, since it is smaller than the sum of its proper divisors (8133318360).

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

3300647040 is a wasteful number, since it uses less digits than its factorization.

3300647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3300647040 is about 57451.2579496742. The cubic root of 3300647040 is about 1488.9028513166.

The spelling of 3300647040 in words is "three billion, three hundred million, six hundred forty-seven thousand, forty".