38409525 has 96 divisors (see below), whose sum is σ = 88089600. Its totient is φ = 15940800.

The previous prime is 38409523. The next prime is 38409533. The reversal of 38409525 is 52590483.

It is not a de Polignac number, because 38409525 - 2¹ = 38409523 is a prime.

It is a super-2 number, since 2×38409525² = 2950583221451250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38409525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38409523) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 51606 + ... + 52344.

It is an arithmetic number, because the mean of its divisors is an integer number (917600).

Almost surely, 2^38409525 is an apocalyptic number.

38409525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38409525 is an abundant number, since it is smaller than the sum of its proper divisors (49680075).

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

38409525 is a wasteful number, since it uses less digits than its factorization.

38409525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 38409525 is about 6197.5418514117. The cubic root of 38409525 is about 337.4009585929.

The spelling of 38409525 in words is "thirty-eight million, four hundred nine thousand, five hundred twenty-five".