3395996928 has 252 divisors, whose sum is σ = 10509168768. Its totient is φ = 1093616640.

The previous prime is 3395996909. The next prime is 3395996951. The reversal of 3395996928 is 8296995933.

3395996928 is a `hidden beast` number, since 3 + 39 + 599 + 6 + 9 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5785051 + ... + 5785637.

Almost surely, 2^3395996928 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 3395996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254584384).

3395996928 is an abundant number, since it is smaller than the sum of its proper divisors (7113171840).

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

3395996928 is an frugal number, since it uses more digits than its factorization.

3395996928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The square root of 3395996928 is about 58275.1827796361. The cubic root of 3395996928 is about 1503.1042274165.

The spelling of 3395996928 in words is "three billion, three hundred ninety-five million, nine hundred ninety-six thousand, nine hundred twenty-eight".