38964912 has 80 divisors (see below), whose sum is σ = 116421120. Its totient is φ = 10999296.

The previous prime is 38964907. The next prime is 38964917. The reversal of 38964912 is 21946983.

It is an interprime number because it is at equal distance from previous prime (38964907) and next prime (38964917).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38964917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29253 + ... + 30555.

It is an arithmetic number, because the mean of its divisors is an integer number (1455264).

Almost surely, 2^38964912 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 38964912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58210560).

38964912 is an abundant number, since it is smaller than the sum of its proper divisors (77456208).

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

38964912 is a wasteful number, since it uses less digits than its factorization.

38964912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 38964912 is about 6242.1880779099. The cubic root of 38964912 is about 339.0194122245.

The spelling of 38964912 in words is "thirty-eight million, nine hundred sixty-four thousand, nine hundred twelve".