38063520 has 288 divisors, whose sum is σ = 148599360. Its totient is φ = 9123840.

The previous prime is 38063507. The next prime is 38063521. The reversal of 38063520 is 2536083.

38063520 = T₈₈₀ + T₈₈₁ + ... + T₉₆₈.

38063520 is a `hidden beast` number, since 3 + 8 + 0 + 635 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38063521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427636 + ... + 427724.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^38063520 is an apocalyptic number.

38063520 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 38063520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

38063520 is an abundant number, since it is smaller than the sum of its proper divisors (110535840).

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

38063520 is a wasteful number, since it uses less digits than its factorization.

38063520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 38063520 is about 6169.5640040444. The cubic root of 38063520 is about 336.3847633099.

It can be divided in two parts, 38063 and 520, that added together give a palindrome (38583).

The spelling of 38063520 in words is "thirty-eight million, sixty-three thousand, five hundred twenty".