38679243120 has 960 divisors, whose sum is σ = 162853576704. Its totient is φ = 8345825280.

The previous prime is 38679243107. The next prime is 38679243121. The reversal of 38679243120 is 2134297683.

38679243120 is a `hidden beast` number, since 386 + 7 + 9 + 243 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38679243121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223579354 + ... + 223579526.

Almost surely, 2^38679243120 is an apocalyptic number.

38679243120 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 38679243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81426788352).

38679243120 is an abundant number, since it is smaller than the sum of its proper divisors (124174333584).

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

38679243120 is a wasteful number, since it uses less digits than its factorization.

38679243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38679243120 in words is "thirty-eight billion, six hundred seventy-nine million, two hundred forty-three thousand, one hundred twenty".