38829840 has 160 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 8558592.

The previous prime is 38829839. The next prime is 38829859. The reversal of 38829840 is 4892883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38829792 and 38829801.

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 31 ways as a sum of consecutive naturals, for example, 48322 + ... + 49118.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^38829840 is an apocalyptic number.

38829840 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 38829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

38829840 is an abundant number, since it is smaller than the sum of its proper divisors (103661040).

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

38829840 is a wasteful number, since it uses less digits than its factorization.

38829840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 38829840 is about 6231.3594022492. The cubic root of 38829840 is about 338.6272213826.

The spelling of 38829840 in words is "thirty-eight million, eight hundred twenty-nine thousand, eight hundred forty".