3363307040 has 72 divisors (see below), whose sum is σ = 8386168140. Its totient is φ = 1274494464.

The previous prime is 3363307037. The next prime is 3363307061. The reversal of 3363307040 is 407033633.

It can be written as a sum of positive squares in 2 ways, for example, as 3362608144 + 698896 = 57988^2 + 836^2 .

It is a super-2 number, since 2×3363307040² = 22623668490627123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3363306994 and 3363307012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28646 + ... + 86874.

Almost surely, 2^3363307040 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 3363307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193084070).

3363307040 is an abundant number, since it is smaller than the sum of its proper divisors (5022861100).

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

3363307040 is a wasteful number, since it uses less digits than its factorization.

3363307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58282 (or 58255 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 29.

The square root of 3363307040 is about 57994.0258992252. The cubic root of 3363307040 is about 1498.2657052168.

The spelling of 3363307040 in words is "three billion, three hundred sixty-three million, three hundred seven thousand, forty".