38242560 has 144 divisors (see below), whose sum is σ = 127741824. Its totient is φ = 9732096.

The previous prime is 38242559. The next prime is 38242577. The reversal of 38242560 is 6524283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88104 + ... + 88536.

It is an arithmetic number, because the mean of its divisors is an integer number (887096).

Almost surely, 2^38242560 is an apocalyptic number.

38242560 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 38242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870912).

38242560 is an abundant number, since it is smaller than the sum of its proper divisors (89499264).

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

38242560 is a wasteful number, since it uses less digits than its factorization.

38242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 38242560 is about 6184.0569208247. The cubic root of 38242560 is about 336.9113580198.

The spelling of 38242560 in words is "thirty-eight million, two hundred forty-two thousand, five hundred sixty".