38106237012480 has 960 divisors, whose sum is σ = 163199530061568. Its totient is φ = 8001800110080.

The previous prime is 38106237012479. The next prime is 38106237012491. The reversal of 38106237012480 is 8421073260183.

38106237012480 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 623 + 7 + 0 + 12 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442347972 + ... + 442434108.

Almost surely, 2^{38106237012480} is an apocalyptic number.

38106237012480 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 38106237012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81599765030784).

38106237012480 is an abundant number, since it is smaller than the sum of its proper divisors (125093293049088).

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

38106237012480 is a wasteful number, since it uses less digits than its factorization.

38106237012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86397 (or 86378 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38106237012480 in words is "thirty-eight trillion, one hundred six billion, two hundred thirty-seven million, twelve thousand, four hundred eighty".