3934009728 has 128 divisors (see below), whose sum is σ = 12666441600. Its totient is φ = 1192112640.

The previous prime is 3934009649. The next prime is 3934009733. The reversal of 3934009728 is 8279004393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13726 + ... + 89757.

It is an arithmetic number, because the mean of its divisors is an integer number (98956575).

Almost surely, 2^3934009728 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 3934009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333220800).

3934009728 is an abundant number, since it is smaller than the sum of its proper divisors (8732431872).

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

3934009728 is a wasteful number, since it uses less digits than its factorization.

3934009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103517 (or 103499 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3934009728 is about 62721.6846712523. The cubic root of 3934009728 is about 1578.6231834312.

The spelling of 3934009728 in words is "three billion, nine hundred thirty-four million, nine thousand, seven hundred twenty-eight".