38525760 has 448 divisors, whose sum is σ = 170688000. Its totient is φ = 8128512.

The previous prime is 38525741. The next prime is 38525771. The reversal of 38525760 is 6752583.

38525760 is a `hidden beast` number, since 3 + 85 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963514 + ... + 2963526.

It is an arithmetic number, because the mean of its divisors is an integer number (381000).

Almost surely, 2^38525760 is an apocalyptic number.

38525760 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 38525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344000).

38525760 is an abundant number, since it is smaller than the sum of its proper divisors (132162240).

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

38525760 is a wasteful number, since it uses less digits than its factorization.

38525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 38525760 is about 6206.9122758422. The cubic root of 38525760 is about 337.7409637215.

The spelling of 38525760 in words is "thirty-eight million, five hundred twenty-five thousand, seven hundred sixty".