3330431040 has 112 divisors (see below), whose sum is σ = 10633740480. Its totient is φ = 883107840.

The previous prime is 3330431023. The next prime is 3330431047. The reversal of 3330431040 is 401340333.

It is a super-2 number, since 2×3330431040² = 22183541824390963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330430998 and 3330431016.

It is not an unprimeable number, because it can be changed into a prime (3330431047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162150 + ... + 181530.

Almost surely, 2^3330431040 is an apocalyptic number.

3330431040 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 3330431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316870240).

3330431040 is an abundant number, since it is smaller than the sum of its proper divisors (7303309440).

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

3330431040 is a wasteful number, since it uses less digits than its factorization.

3330431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19580 (or 19570 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3330431040 is about 57709.8868479223. The cubic root of 3330431040 is about 1493.3679112600.

Adding to 3330431040 its reverse (401340333), we get a palindrome (3731771373).

The spelling of 3330431040 in words is "three billion, three hundred thirty million, four hundred thirty-one thousand, forty".