38131853760000 has 3200 divisors, whose sum is σ = 189419426380800. Its totient is φ = 7312343040000.

The previous prime is 38131853759947. The next prime is 38131853760047. The reversal of 38131853760000 is 6735813183.

38131853760000 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 1 + 8 + 5 + 37 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×38131853760000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8648637796 + ... + 8648642204.

It is an arithmetic number, because the mean of its divisors is an integer number (59193570744).

Almost surely, 2^{38131853760000} is an apocalyptic number.

38131853760000 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 38131853760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94709713190400).

38131853760000 is an abundant number, since it is smaller than the sum of its proper divisors (151287572620800).

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

38131853760000 is a wasteful number, since it uses less digits than its factorization.

38131853760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38131853760000 in words is "thirty-eight trillion, one hundred thirty-one billion, eight hundred fifty-three million, seven hundred sixty thousand".