38586132000 has 480 divisors, whose sum is σ = 152534766384. Its totient is φ = 9497088000.

The previous prime is 38586131977. The next prime is 38586132017. The reversal of 38586132000 is 23168583.

38586132000 is a `hidden beast` number, since 38 + 5 + 8 + 613 + 2 + 0 + 0 + 0 = 666.

38586132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 387774864 + 38198357136 = 19692^2 + 195444^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 4207420 + ... + 4216580.

Almost surely, 2^38586132000 is an apocalyptic number.

38586132000 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 38586132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76267383192).

38586132000 is an abundant number, since it is smaller than the sum of its proper divisors (113948634384).

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

38586132000 is a wasteful number, since it uses less digits than its factorization.

38586132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38586132000 in words is "thirty-eight billion, five hundred eighty-six million, one hundred thirty-two thousand".