38106464256000 has 2280 divisors, whose sum is σ = 165844565182296. Its totient is φ = 8680321843200.

The previous prime is 38106464255971. The next prime is 38106464256011. The reversal of 38106464256000 is 65246460183.

38106464256000 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 6 + 46 + 42 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149824733184 + 37956639522816 = 387072^2 + 6160896^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130056191854 + ... + 130056192146.

Almost surely, 2^{38106464256000} is an apocalyptic number.

38106464256000 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 38106464256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82922282591148).

38106464256000 is an abundant number, since it is smaller than the sum of its proper divisors (127738100926296).

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

38106464256000 is an frugal number, since it uses more digits than its factorization.

38106464256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38106464256000 in words is "thirty-eight trillion, one hundred six billion, four hundred sixty-four million, two hundred fifty-six thousand".