3433397240 has 288 divisors, whose sum is σ = 10010861280. Its totient is φ = 1037297664.

The previous prime is 3433397237. The next prime is 3433397251. The reversal of 3433397240 is 427933343.

It is a junction number, because it is equal to n+sod(n) for n = 3433397194 and 3433397203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64781054 + ... + 64781106.

It is an arithmetic number, because the mean of its divisors is an integer number (34759935).

Almost surely, 2^3433397240 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 3433397240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005430640).

3433397240 is an abundant number, since it is smaller than the sum of its proper divisors (6577464040).

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

3433397240 is a wasteful number, since it uses less digits than its factorization.

3433397240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 38.

The square root of 3433397240 is about 58595.1980967724. The cubic root of 3433397240 is about 1508.6020188472.

The spelling of 3433397240 in words is "three billion, four hundred thirty-three million, three hundred ninety-seven thousand, two hundred forty".