38478338136 has 192 divisors, whose sum is σ = 120014868480. Its totient is φ = 10909728000.

The previous prime is 38478338131. The next prime is 38478338137. The reversal of 38478338136 is 63183387483.

38478338136 is a `hidden beast` number, since 3 + 8 + 478 + 3 + 38 + 136 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38478338131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51235761 + ... + 51236511.

It is an arithmetic number, because the mean of its divisors is an integer number (625077440).

Almost surely, 2^38478338136 is an apocalyptic number.

38478338136 is a gapful number since it is divisible by the number (36) 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 38478338136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60007434240).

38478338136 is an abundant number, since it is smaller than the sum of its proper divisors (81536530344).

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

38478338136 is a wasteful number, since it uses less digits than its factorization.

38478338136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1407 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 38478338136 in words is "thirty-eight billion, four hundred seventy-eight million, three hundred thirty-eight thousand, one hundred thirty-six".