38545056 has 144 divisors (see below), whose sum is σ = 125012160. Its totient is φ = 11172480.

The previous prime is 38545021. The next prime is 38545057. The reversal of 38545056 is 65054583.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38545056.

It is not an unprimeable number, because it can be changed into a prime (38545057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675861 + ... + 1675883.

It is an arithmetic number, because the mean of its divisors is an integer number (868140).

Almost surely, 2^38545056 is an apocalyptic number.

38545056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38545056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62506080).

38545056 is an abundant number, since it is smaller than the sum of its proper divisors (86467104).

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

38545056 is a wasteful number, since it uses less digits than its factorization.

38545056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 38545056 is about 6208.4664773195. The cubic root of 38545056 is about 337.7973412543.

The spelling of 38545056 in words is "thirty-eight million, five hundred forty-five thousand, fifty-six".