38221520 has 20 divisors (see below), whose sum is σ = 88865220. Its totient is φ = 15288576.

The previous prime is 38221517. The next prime is 38221523. The reversal of 38221520 is 2512283.

It is an interprime number because it is at equal distance from previous prime (38221517) and next prime (38221523).

It can be written as a sum of positive squares in 2 ways, for example, as 7795264 + 30426256 = 2792^2 + 5516^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×38221520² = 2921769182220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38221523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238805 + ... + 238964.

It is an arithmetic number, because the mean of its divisors is an integer number (4443261).

Almost surely, 2^38221520 is an apocalyptic number.

It is an amenable number.

38221520 is an abundant number, since it is smaller than the sum of its proper divisors (50643700).

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

38221520 is a wasteful number, since it uses less digits than its factorization.

38221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477782 (or 477776 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 38221520 is about 6182.3555381424. The cubic root of 38221520 is about 336.8495602448.

The spelling of 38221520 in words is "thirty-eight million, two hundred twenty-one thousand, five hundred twenty".