38946688 has 64 divisors (see below), whose sum is σ = 85680000. Its totient is φ = 17487360.

The previous prime is 38946683. The next prime is 38946697. The reversal of 38946688 is 88664983.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38946683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195613 + ... + 195811.

It is an arithmetic number, because the mean of its divisors is an integer number (1338750).

Almost surely, 2^38946688 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 38946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840000).

38946688 is an abundant number, since it is smaller than the sum of its proper divisors (46733312).

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

38946688 is a wasteful number, since it uses less digits than its factorization.

38946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 38946688 is about 6240.7281626426. The cubic root of 38946688 is about 338.9665505352.

The spelling of 38946688 in words is "thirty-eight million, nine hundred forty-six thousand, six hundred eighty-eight".