38676112101540 has 288 divisors, whose sum is σ = 121091023872000. Its totient is φ = 9987073873920.

The previous prime is 38676112101509. The next prime is 38676112101547. The reversal of 38676112101540 is 4510121167683.

38676112101540 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 611 + 2 + 10 + 15 + 4 + 0 = 666.

38676112101540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (38676112101547) by changing a digit.

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, 2297900925 + ... + 2297917755.

It is an arithmetic number, because the mean of its divisors is an integer number (420454944000).

Almost surely, 2^{38676112101540} is an apocalyptic number.

38676112101540 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 38676112101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60545511936000).

38676112101540 is an abundant number, since it is smaller than the sum of its proper divisors (82414911770460).

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

38676112101540 is a wasteful number, since it uses less digits than its factorization.

38676112101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20027 (or 20022 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 38676112101540 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred twelve million, one hundred one thousand, five hundred forty".