38682274282400 has 144 divisors (see below), whose sum is σ = 107973986722560. Its totient is φ = 13256295398400.

The previous prime is 38682274282381. The next prime is 38682274282403. The reversal of 38682274282400 is 428247228683.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (38682274282403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10376441 + ... + 13602759.

It is an arithmetic number, because the mean of its divisors is an integer number (749819352240).

Almost surely, 2^{38682274282400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682274282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53986993361280).

38682274282400 is an abundant number, since it is smaller than the sum of its proper divisors (69291712440160).

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

38682274282400 is a wasteful number, since it uses less digits than its factorization.

38682274282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228487 (or 3228474 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 56.

The spelling of 38682274282400 in words is "thirty-eight trillion, six hundred eighty-two billion, two hundred seventy-four million, two hundred eighty-two thousand, four hundred".