38875520 has 128 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 13989888.

The previous prime is 38875517. The next prime is 38875523. The reversal of 38875520 is 2557883.

38875520 = T₁₈₄ + T₁₈₅ + ... + T₆₂₀.

It is an interprime number because it is at equal distance from previous prime (38875517) and next prime (38875523).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×38875520³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38875523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279611 + ... + 279749.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^38875520 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 38875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

38875520 is an abundant number, since it is smaller than the sum of its proper divisors (63940480).

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

38875520 is a wasteful number, since it uses less digits than its factorization.

38875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 38875520 is about 6235.0236567314. The cubic root of 38875520 is about 338.7599580412.

The spelling of 38875520 in words is "thirty-eight million, eight hundred seventy-five thousand, five hundred twenty".