38674944 has 240 divisors, whose sum is σ = 140437440. Its totient is φ = 9953280.

The previous prime is 38674927. The next prime is 38674969. The reversal of 38674944 is 44947683.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38674944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354762 + ... + 354870.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 2^38674944 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 38674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218720).

38674944 is an abundant number, since it is smaller than the sum of its proper divisors (101762496).

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

38674944 is a wasteful number, since it uses less digits than its factorization.

38674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38674944 is about 6218.9182339053. The cubic root of 38674944 is about 338.1763490428.

The spelling of 38674944 in words is "thirty-eight million, six hundred seventy-four thousand, nine hundred forty-four".