38183040 has 192 divisors, whose sum is σ = 150845760. Its totient is φ = 8718336.

The previous prime is 38183029. The next prime is 38183069. The reversal of 38183040 is 4038183.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 38182995 and 38183013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39847 + ... + 40793.

It is an arithmetic number, because the mean of its divisors is an integer number (785655).

Almost surely, 2^38183040 is an apocalyptic number.

38183040 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 38183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75422880).

38183040 is an abundant number, since it is smaller than the sum of its proper divisors (112662720).

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

38183040 is a wasteful number, since it uses less digits than its factorization.

38183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38183040 is about 6179.2426720432. The cubic root of 38183040 is about 336.7364797656.

The spelling of 38183040 in words is "thirty-eight million, one hundred eighty-three thousand, forty".