38825360 has 160 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 12165120.

The previous prime is 38825359. The next prime is 38825407. The reversal of 38825360 is 6352883.

It is a Cunningham number, because it is equal to 6231²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 38825360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436196 + ... + 436284.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^38825360 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 38825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

38825360 is an abundant number, since it is smaller than the sum of its proper divisors (73667440).

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

38825360 is a wasteful number, since it uses less digits than its factorization.

38825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 38825360 is about 6230.9999197561. Note that the first 4 decimals coincide. The cubic root of 38825360 is about 338.6141978222.

The spelling of 38825360 in words is "thirty-eight million, eight hundred twenty-five thousand, three hundred sixty".