38974144 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 16163840.

The previous prime is 38974129. The next prime is 38974147. The reversal of 38974144 is 44147983.

It is a junction number, because it is equal to n+sod(n) for n = 38974097 and 38974106.

It is not an unprimeable number, because it can be changed into a prime (38974147) 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, 469527 + ... + 469609.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 2^38974144 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 38974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

38974144 is an abundant number, since it is smaller than the sum of its proper divisors (53197376).

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

38974144 is a wasteful number, since it uses less digits than its factorization.

38974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 38974144 is about 6242.9275184003. The cubic root of 38974144 is about 339.0461848592.

The spelling of 38974144 in words is "thirty-eight million, nine hundred seventy-four thousand, one hundred forty-four".