38538080 has 96 divisors (see below), whose sum is σ = 109589760. Its totient is φ = 12510720.

The previous prime is 38538079. The next prime is 38538121. The reversal of 38538080 is 8083583.

It is a super-2 number, since 2×38538080² = 2970367220172800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 38538080.

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, 20375 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (1141560).

Almost surely, 2^38538080 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 38538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54794880).

38538080 is an abundant number, since it is smaller than the sum of its proper divisors (71051680).

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

38538080 is a wasteful number, since it uses less digits than its factorization.

38538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 38538080 is about 6207.9046384428. The cubic root of 38538080 is about 337.7769614990.

The spelling of 38538080 in words is "thirty-eight million, five hundred thirty-eight thousand, eighty".