38819749267140 has 288 divisors, whose sum is σ = 112932649823616. Its totient is φ = 9961603891200.

The previous prime is 38819749267139. The next prime is 38819749267157. The reversal of 38819749267140 is 4176294791883.

38819749267140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38819749267140³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1821401124 + ... + 1821422436.

It is an arithmetic number, because the mean of its divisors is an integer number (392127256332).

Almost surely, 2^{38819749267140} is an apocalyptic number.

38819749267140 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 38819749267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56466324911808).

38819749267140 is an abundant number, since it is smaller than the sum of its proper divisors (74112900556476).

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

38819749267140 is a wasteful number, since it uses less digits than its factorization.

38819749267140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21639 (or 21584 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 38819749267140 in words is "thirty-eight trillion, eight hundred nineteen billion, seven hundred forty-nine million, two hundred sixty-seven thousand, one hundred forty".