38964128 has 48 divisors (see below), whose sum is σ = 89558784. Its totient is φ = 16339200.

The previous prime is 38964113. The next prime is 38964137. The reversal of 38964128 is 82146983.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8678 + ... + 12378.

It is an arithmetic number, because the mean of its divisors is an integer number (1865808).

Almost surely, 2^38964128 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 38964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44779392).

38964128 is an abundant number, since it is smaller than the sum of its proper divisors (50594656).

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

38964128 is a wasteful number, since it uses less digits than its factorization.

38964128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3757 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 38964128 is about 6242.1252791017. The cubic root of 38964128 is about 339.0171384437.

The spelling of 38964128 in words is "thirty-eight million, nine hundred sixty-four thousand, one hundred twenty-eight".