38906206286400 has 588 divisors, whose sum is σ = 144583007353092. Its totient is φ = 10299216199680.

The previous prime is 38906206286371. The next prime is 38906206286401. The reversal of 38906206286400 is 468260260983.

38906206286400 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 6 + 2 + 0 + 628 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 826150109184 + 38080056177216 = 908928^2 + 6170904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38906206286401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 159675064 + ... + 159918536.

Almost surely, 2^{38906206286400} is an apocalyptic number.

38906206286400 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 38906206286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72291503676546).

38906206286400 is an abundant number, since it is smaller than the sum of its proper divisors (105676801066692).

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

38906206286400 is a wasteful number, since it uses less digits than its factorization.

38906206286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243650 (or 243620 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 38906206286400 in words is "thirty-eight trillion, nine hundred six billion, two hundred six million, two hundred eighty-six thousand, four hundred".