38660160 has 224 divisors, whose sum is σ = 153326592. Its totient is φ = 8017920.

The previous prime is 38660129. The next prime is 38660173. The reversal of 38660160 is 6106683.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 73659 + ... + 74181.

Almost surely, 2^38660160 is an apocalyptic number.

38660160 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 38660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76663296).

38660160 is an abundant number, since it is smaller than the sum of its proper divisors (114666432).

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

38660160 is a wasteful number, since it uses less digits than its factorization.

38660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38660160 is about 6217.7294891303. The cubic root of 38660160 is about 338.1332527828.

The spelling of 38660160 in words is "thirty-eight million, six hundred sixty thousand, one hundred sixty".