38735520 has 192 divisors, whose sum is σ = 133249536. Its totient is φ = 9420800.

The previous prime is 38735497. The next prime is 38735531. The reversal of 38735520 is 2553783.

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 31 ways as a sum of consecutive naturals, for example, 383470 + ... + 383570.

It is an arithmetic number, because the mean of its divisors is an integer number (694008).

Almost surely, 2^38735520 is an apocalyptic number.

38735520 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 38735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

38735520 is an abundant number, since it is smaller than the sum of its proper divisors (94514016).

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

38735520 is a wasteful number, since it uses less digits than its factorization.

38735520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 38735520 is about 6223.7866287333. The cubic root of 38735520 is about 338.3528171674.

The spelling of 38735520 in words is "thirty-eight million, seven hundred thirty-five thousand, five hundred twenty".