38508876 has 144 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 10137600.

The previous prime is 38508863. The next prime is 38508907. The reversal of 38508876 is 67880583.

38508876 = T₂₄₉ + T₂₅₀ + ... + T₆₂₆.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381226 + ... + 381326.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^38508876 is an apocalyptic number.

38508876 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 38508876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

38508876 is an abundant number, since it is smaller than the sum of its proper divisors (81785844).

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

38508876 is a wasteful number, since it uses less digits than its factorization.

38508876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 38508876 is about 6205.5520302387. The cubic root of 38508876 is about 337.6916179360.

The spelling of 38508876 in words is "thirty-eight million, five hundred eight thousand, eight hundred seventy-six".