38551920 has 160 divisors (see below), whose sum is σ = 138205440. Its totient is φ = 8785920.

The previous prime is 38551913. The next prime is 38551927. The reversal of 38551920 is 2915583.

It is an interprime number because it is at equal distance from previous prime (38551913) and next prime (38551927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38551927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44451 + ... + 45309.

It is an arithmetic number, because the mean of its divisors is an integer number (863784).

Almost surely, 2^38551920 is an apocalyptic number.

38551920 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 38551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102720).

38551920 is an abundant number, since it is smaller than the sum of its proper divisors (99653520).

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

38551920 is a wasteful number, since it uses less digits than its factorization.

38551920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 38551920 is about 6209.0192462256. The cubic root of 38551920 is about 337.8173914118.

It can be divided in two parts, 3855 and 1920, that added together give a palindrome (5775).

The spelling of 38551920 in words is "thirty-eight million, five hundred fifty-one thousand, nine hundred twenty".