38450880 has 252 divisors, whose sum is σ = 145023840. Its totient is φ = 9345024.

The previous prime is 38450869. The next prime is 38450903. The reversal of 38450880 is 8805483.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 486681 + ... + 486759.

Almost surely, 2^38450880 is an apocalyptic number.

38450880 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 38450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72511920).

38450880 is an abundant number, since it is smaller than the sum of its proper divisors (106572960).

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

38450880 is a wasteful number, since it uses less digits than its factorization.

38450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38450880 is about 6200.8773572778. The cubic root of 38450880 is about 337.5220067955.

The spelling of 38450880 in words is "thirty-eight million, four hundred fifty thousand, eight hundred eighty".