38960824 has 64 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 15993600.

The previous prime is 38960809. The next prime is 38960897. The reversal of 38960824 is 42806983.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162897 + ... + 163135.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^38960824 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 38960824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

38960824 is an abundant number, since it is smaller than the sum of its proper divisors (48130376).

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

38960824 is a wasteful number, since it uses less digits than its factorization.

38960824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 38960824 is about 6241.8606200395. The cubic root of 38960824 is about 339.0075557468.

The spelling of 38960824 in words is "thirty-eight million, nine hundred sixty thousand, eight hundred twenty-four".