38032820 has 54 divisors (see below), whose sum is σ = 93382758. Its totient is φ = 12973632.

The previous prime is 38032801. The next prime is 38032831. The reversal of 38032820 is 2823083.

It can be written as a sum of positive squares in 3 ways, for example, as 25684624 + 12348196 = 5068^2 + 3514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38032820.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 192962 + ... + 193158.

Almost surely, 2^38032820 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 38032820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46691379).

38032820 is an abundant number, since it is smaller than the sum of its proper divisors (55349938).

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

38032820 is a wasteful number, since it uses less digits than its factorization.

38032820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38032820 is about 6167.0754819444. The cubic root of 38032820 is about 336.2943023306.

The spelling of 38032820 in words is "thirty-eight million, thirty-two thousand, eight hundred twenty".