38353880 has 64 divisors (see below), whose sum is σ = 92067840. Its totient is φ = 14346112.

The previous prime is 38353879. The next prime is 38353883. The reversal of 38353880 is 8835383.

38353880 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 2×38353880² = 2942040222108800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38353883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42797 + ... + 43683.

It is an arithmetic number, because the mean of its divisors is an integer number (1438560).

Almost surely, 2^38353880 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 38353880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46033920).

38353880 is an abundant number, since it is smaller than the sum of its proper divisors (53713960).

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

38353880 is a wasteful number, since it uses less digits than its factorization.

38353880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 38353880 is about 6193.0509444054. The cubic root of 38353880 is about 337.2379456413.

The spelling of 38353880 in words is "thirty-eight million, three hundred fifty-three thousand, eight hundred eighty".