38643501312 has 432 divisors, whose sum is σ = 131478787440. Its totient is φ = 10800857088.

The previous prime is 38643501293. The next prime is 38643501353. The reversal of 38643501312 is 21310534683.

38643501312 is a `hidden beast` number, since 3 + 8 + 643 + 5 + 0 + 1 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2931572736 + 35711928576 = 54144^2 + 188976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14765028 + ... + 14767644.

It is an arithmetic number, because the mean of its divisors is an integer number (304349045).

Almost surely, 2^38643501312 is an apocalyptic number.

38643501312 is a gapful number since it is divisible by the number (32) 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 38643501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65739393720).

38643501312 is an abundant number, since it is smaller than the sum of its proper divisors (92835286128).

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

38643501312 is a wasteful number, since it uses less digits than its factorization.

38643501312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38643501312 in words is "thirty-eight billion, six hundred forty-three million, five hundred one thousand, three hundred twelve".