38946336 has 96 divisors (see below), whose sum is σ = 120149568. Its totient is φ = 10890240.

The previous prime is 38946331. The next prime is 38946359. The reversal of 38946336 is 63364983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38946331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12310 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (1251558).

Almost surely, 2^38946336 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 38946336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60074784).

38946336 is an abundant number, since it is smaller than the sum of its proper divisors (81203232).

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

38946336 is a wasteful number, since it uses less digits than its factorization.

38946336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2866 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 38946336 is about 6240.6999607416. The cubic root of 38946336 is about 338.9655293393.

The spelling of 38946336 in words is "thirty-eight million, nine hundred forty-six thousand, three hundred thirty-six".