38183807628288 has 1056 divisors, whose sum is σ = 136794675763200. Its totient is φ = 10401615544320.

The previous prime is 38183807628283. The next prime is 38183807628349. The reversal of 38183807628288 is 88282670838183.

It is a happy number.

38183807628288 is a `hidden beast` number, since 3 + 8 + 183 + 80 + 76 + 28 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38183807628283) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13981619883 + ... + 13981622613.

Almost surely, 2^{38183807628288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38183807628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397337881600).

38183807628288 is an abundant number, since it is smaller than the sum of its proper divisors (98610868134912).

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

38183807628288 is a wasteful number, since it uses less digits than its factorization.

38183807628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 38183807628288 in words is "thirty-eight trillion, one hundred eighty-three billion, eight hundred seven million, six hundred twenty-eight thousand, two hundred eighty-eight".