38842123320 has 2048 divisors, whose sum is σ = 191987712000. Its totient is φ = 6718464000.

The previous prime is 38842123267. The next prime is 38842123321. The reversal of 38842123320 is 2332124883.

38842123320 is a `hidden beast` number, since 38 + 84 + 212 + 332 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38842123321) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 636756090 + ... + 636756150.

It is an arithmetic number, because the mean of its divisors is an integer number (93744000).

Almost surely, 2^38842123320 is an apocalyptic number.

38842123320 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 38842123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856000).

38842123320 is an abundant number, since it is smaller than the sum of its proper divisors (153145588680).

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

38842123320 is a wasteful number, since it uses less digits than its factorization.

38842123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 38842123320 in words is "thirty-eight billion, eight hundred forty-two million, one hundred twenty-three thousand, three hundred twenty".