38607528960 has 2112 divisors, whose sum is σ = 192273629184. Its totient is φ = 7166361600.

The previous prime is 38607528937. The next prime is 38607528961. The reversal of 38607528960 is 6982570683.

It is a happy number.

38607528960 is a `hidden beast` number, since 3 + 8 + 607 + 5 + 28 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38607528897 and 38607528906.

It is not an unprimeable number, because it can be changed into a prime (38607528961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1245404145 + ... + 1245404175.

Almost surely, 2^38607528960 is an apocalyptic number.

38607528960 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 38607528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96136814592).

38607528960 is an abundant number, since it is smaller than the sum of its proper divisors (153666100224).

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

38607528960 is a wasteful number, since it uses less digits than its factorization.

38607528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38607528960 in words is "thirty-eight billion, six hundred seven million, five hundred twenty-eight thousand, nine hundred sixty".