38047520 has 144 divisors (see below), whose sum is σ = 109626048. Its totient is φ = 12418560.

The previous prime is 38047517. The next prime is 38047523. The reversal of 38047520 is 2574083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38047517) and next prime (38047523).

It is a super-2 number, since 2×38047520² = 2895227556300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38047523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180215 + ... + 180425.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 2^38047520 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 38047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54813024).

38047520 is an abundant number, since it is smaller than the sum of its proper divisors (71578528).

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

38047520 is a wasteful number, since it uses less digits than its factorization.

38047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 38047520 is about 6168.2671796867. The cubic root of 38047520 is about 336.3376235943.

The spelling of 38047520 in words is "thirty-eight million, forty-seven thousand, five hundred twenty".