38686209120 has 720 divisors, whose sum is σ = 156687410880. Its totient is φ = 8953970688.

The previous prime is 38686209113. The next prime is 38686209167. The reversal of 38686209120 is 2190268683.

38686209120 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 620 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37233561 + ... + 37234599.

It is an arithmetic number, because the mean of its divisors is an integer number (217621404).

Almost surely, 2^38686209120 is an apocalyptic number.

38686209120 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 38686209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343705440).

38686209120 is an abundant number, since it is smaller than the sum of its proper divisors (118001201760).

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

38686209120 is a wasteful number, since it uses less digits than its factorization.

38686209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38686209120 in words is "thirty-eight billion, six hundred eighty-six million, two hundred nine thousand, one hundred twenty".