38680824 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 10036224.

The previous prime is 38680819. The next prime is 38680841. The reversal of 38680824 is 42808683.

38680824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38680824² = 2992412290637952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194277 + ... + 194475.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^38680824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38680824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

38680824 is an abundant number, since it is smaller than the sum of its proper divisors (82279176).

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

38680824 is a wasteful number, since it uses less digits than its factorization.

38680824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38680824 is about 6219.3909669677. The cubic root of 38680824 is about 338.1934865481.

The spelling of 38680824 in words is "thirty-eight million, six hundred eighty thousand, eight hundred twenty-four".