38283840 has 280 divisors, whose sum is σ = 156374592. Its totient is φ = 8709120.

The previous prime is 38283829. The next prime is 38283859. The reversal of 38283840 is 4838283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38283795 and 38283804.

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 39 ways as a sum of consecutive naturals, for example, 181335 + ... + 181545.

Almost surely, 2^38283840 is an apocalyptic number.

38283840 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 38283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78187296).

38283840 is an abundant number, since it is smaller than the sum of its proper divisors (118090752).

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

38283840 is a wasteful number, since it uses less digits than its factorization.

38283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38283840 is about 6187.3936354494. The cubic root of 38283840 is about 337.0325380154.

The spelling of 38283840 in words is "thirty-eight million, two hundred eighty-three thousand, eight hundred forty".