38421520 has 40 divisors (see below), whose sum is σ = 92415960. Its totient is φ = 14837760.

The previous prime is 38421463. The next prime is 38421529. The reversal of 38421520 is 2512483.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 38340864 = 284^2 + 6192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×38421520² = 2952426398220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38421529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5961 + ... + 10600.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2^38421520 is an apocalyptic number.

It is an amenable number.

38421520 is an abundant number, since it is smaller than the sum of its proper divisors (53994440).

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

38421520 is a wasteful number, since it uses less digits than its factorization.

38421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16603 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 38421520 is about 6198.5094982584. The cubic root of 38421520 is about 337.4360775143.

It can be divided in two parts, 384 and 21520, that added together give a square (21904 = 148²).

The spelling of 38421520 in words is "thirty-eight million, four hundred twenty-one thousand, five hundred twenty".