38363820 has 96 divisors (see below), whose sum is σ = 120427776. Its totient is φ = 9043200.

The previous prime is 38363813. The next prime is 38363821. The reversal of 38363820 is 2836383.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (38363821) 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 31 ways as a sum of consecutive naturals, for example, 23635 + ... + 25205.

It is an arithmetic number, because the mean of its divisors is an integer number (1254456).

Almost surely, 2^38363820 is an apocalyptic number.

38363820 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 38363820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60213888).

38363820 is an abundant number, since it is smaller than the sum of its proper divisors (82063956).

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

38363820 is a wasteful number, since it uses less digits than its factorization.

38363820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 38363820 is about 6193.8534047877. The cubic root of 38363820 is about 337.2670765978.

The spelling of 38363820 in words is "thirty-eight million, three hundred sixty-three thousand, eight hundred twenty".