38560896 has 192 divisors, whose sum is σ = 128887200. Its totient is φ = 10936320.

The previous prime is 38560877. The next prime is 38560897. The reversal of 38560896 is 69806583.

38560896 is a `hidden beast` number, since 3 + 8 + 560 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (38560897) 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, 215335 + ... + 215513.

Almost surely, 2^38560896 is an apocalyptic number.

38560896 is a gapful number since it is divisible by the number (36) 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 38560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

38560896 is an abundant number, since it is smaller than the sum of its proper divisors (90326304).

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

38560896 is a wasteful number, since it uses less digits than its factorization.

38560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 38560896 is about 6209.7420236271. The cubic root of 38560896 is about 337.8436072579.

The spelling of 38560896 in words is "thirty-eight million, five hundred sixty thousand, eight hundred ninety-six".