38833080 has 256 divisors, whose sum is σ = 143216640. Its totient is φ = 8294400.

The previous prime is 38833079. The next prime is 38833099. The reversal of 38833080 is 8033883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531924 + ... + 531996.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^38833080 is an apocalyptic number.

38833080 is a gapful number since it is divisible by the number (30) 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 38833080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

38833080 is an abundant number, since it is smaller than the sum of its proper divisors (104383560).

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

38833080 is a wasteful number, since it uses less digits than its factorization.

38833080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38833080 is about 6231.6193722017. The cubic root of 38833080 is about 338.6366395833.

The spelling of 38833080 in words is "thirty-eight million, eight hundred thirty-three thousand, eighty".