3303407040 has 112 divisors (see below), whose sum is σ = 10505956128. Its totient is φ = 879427584.

The previous prime is 3303407021. The next prime is 3303407047. The reversal of 3303407040 is 407043033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3303407040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303407047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 643524 + ... + 648636.

Almost surely, 2^3303407040 is an apocalyptic number.

3303407040 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 3303407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252978064).

3303407040 is an abundant number, since it is smaller than the sum of its proper divisors (7202549088).

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

3303407040 is a wasteful number, since it uses less digits than its factorization.

3303407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 3303407040 is about 57475.2732920862. The cubic root of 3303407040 is about 1489.3177423903.

The spelling of 3303407040 in words is "three billion, three hundred three million, four hundred seven thousand, forty".