38914560 has 160 divisors (see below), whose sum is σ = 138473280. Its totient is φ = 10358784.

The previous prime is 38914553. The next prime is 38914573. The reversal of 38914560 is 6541983.

38914560 is a `hidden beast` number, since 3 + 8 + 91 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 68839 + ... + 69401.

It is an arithmetic number, because the mean of its divisors is an integer number (865458).

Almost surely, 2^38914560 is an apocalyptic number.

38914560 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 38914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69236640).

38914560 is an abundant number, since it is smaller than the sum of its proper divisors (99558720).

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

38914560 is an equidigital number, since it uses as much as digits as its factorization.

38914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38914560 is about 6238.1535729733. The cubic root of 38914560 is about 338.8733178469.

The spelling of 38914560 in words is "thirty-eight million, nine hundred fourteen thousand, five hundred sixty".