38006020 has 48 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 13910400.

The previous prime is 38005987. The next prime is 38006029. The reversal of 38006020 is 2060083.

It is not an unprimeable number, because it can be changed into a prime (38006029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32445 + ... + 33595.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 2^38006020 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 38006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

38006020 is an abundant number, since it is smaller than the sum of its proper divisors (48698108).

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

38006020 is a wasteful number, since it uses less digits than its factorization.

38006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 38006020 is about 6164.9022701094. The cubic root of 38006020 is about 336.2152933319.

The spelling of 38006020 in words is "thirty-eight million, six thousand, twenty".