3407331928 has 192 divisors, whose sum is σ = 8837498880. Its totient is φ = 1197884160.

The previous prime is 3407331899. The next prime is 3407331931. The reversal of 3407331928 is 8291337043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139725 + ... + 4140547.

It is an arithmetic number, because the mean of its divisors is an integer number (46028640).

Almost surely, 2^3407331928 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 3407331928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418749440).

3407331928 is an abundant number, since it is smaller than the sum of its proper divisors (5430166952).

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

3407331928 is a wasteful number, since it uses less digits than its factorization.

3407331928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3407331928 is about 58372.3558544625. The cubic root of 3407331928 is about 1504.7747006223.

The spelling of 3407331928 in words is "three billion, four hundred seven million, three hundred thirty-one thousand, nine hundred twenty-eight".