38658588120 has 192 divisors, whose sum is σ = 130569304320. Its totient is φ = 10287160704.

The previous prime is 38658588107. The next prime is 38658588139. The reversal of 38658588120 is 2188585683.

It is a happy number.

38658588120 is a `hidden beast` number, since 3 + 8 + 6 + 58 + 588 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4885207 + ... + 4893113.

It is an arithmetic number, because the mean of its divisors is an integer number (680048460).

Almost surely, 2^38658588120 is an apocalyptic number.

38658588120 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 38658588120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65284652160).

38658588120 is an abundant number, since it is smaller than the sum of its proper divisors (91910716200).

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

38658588120 is a wasteful number, since it uses less digits than its factorization.

38658588120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8436 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 38658588120 in words is "thirty-eight billion, six hundred fifty-eight million, five hundred eighty-eight thousand, one hundred twenty".