38635520 has 192 divisors, whose sum is σ = 117936000. Its totient is φ = 12042240.

The previous prime is 38635481. The next prime is 38635547. The reversal of 38635520 is 2553683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3512315 + ... + 3512325.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^38635520 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 38635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

38635520 is an abundant number, since it is smaller than the sum of its proper divisors (79300480).

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

38635520 is an equidigital number, since it uses as much as digits as its factorization.

38635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 38635520 is about 6215.7477426292. The cubic root of 38635520 is about 338.0614012607.

The spelling of 38635520 in words is "thirty-eight million, six hundred thirty-five thousand, five hundred twenty".