38061930240 has 288 divisors, whose sum is σ = 135416635200. Its totient is φ = 10123591680.

The previous prime is 38061930239. The next prime is 38061930287. The reversal of 38061930240 is 4203916083.

38061930240 is a `hidden beast` number, since 3 + 8 + 0 + 619 + 30 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38061930195 and 38061930204.

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 31 ways as a sum of consecutive naturals, for example, 15930966 + ... + 15933354.

It is an arithmetic number, because the mean of its divisors is an integer number (470196650).

Almost surely, 2^38061930240 is an apocalyptic number.

38061930240 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 38061930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67708317600).

38061930240 is an abundant number, since it is smaller than the sum of its proper divisors (97354704960).

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

38061930240 is a wasteful number, since it uses less digits than its factorization.

38061930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 38061930240 in words is "thirty-eight billion, sixty-one million, nine hundred thirty thousand, two hundred forty".