38356164 has 144 divisors (see below), whose sum is σ = 122967936. Its totient is φ = 9792000.

The previous prime is 38356163. The next prime is 38356217. The reversal of 38356164 is 46165383.

38356164 is a `hidden beast` number, since 3 + 8 + 35 + 616 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38356163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279904 + ... + 280040.

It is an arithmetic number, because the mean of its divisors is an integer number (853944).

Almost surely, 2^38356164 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 38356164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61483968).

38356164 is an abundant number, since it is smaller than the sum of its proper divisors (84611772).

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

38356164 is a wasteful number, since it uses less digits than its factorization.

38356164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 38356164 is about 6193.2353418871. The cubic root of 38356164 is about 337.2446397591.

It can be divided in two parts, 3835 and 6164, that added together give a palindrome (9999).

The spelling of 38356164 in words is "thirty-eight million, three hundred fifty-six thousand, one hundred sixty-four".