38972824 has 32 divisors (see below), whose sum is σ = 80481600. Its totient is φ = 17545120.

The previous prime is 38972821. The next prime is 38972851. The reversal of 38972824 is 42827983.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38972821) 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, 7347 + ... + 11485.

It is an arithmetic number, because the mean of its divisors is an integer number (2515050).

Almost surely, 2^38972824 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 38972824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40240800).

38972824 is an abundant number, since it is smaller than the sum of its proper divisors (41508776).

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

38972824 is a wasteful number, since it uses less digits than its factorization.

38972824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4259 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 38972824 is about 6242.8217978731. The cubic root of 38972824 is about 339.0423571419.

The spelling of 38972824 in words is "thirty-eight million, nine hundred seventy-two thousand, eight hundred twenty-four".