38333682090 has 288 divisors, whose sum is σ = 118026574848. Its totient is φ = 8600486400.

The previous prime is 38333682089. The next prime is 38333682091. The reversal of 38333682090 is 9028633383.

38333682090 is a `hidden beast` number, since 3 + 83 + 3 + 368 + 209 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38333682089) and next prime (38333682091).

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 (38333682091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7762102 + ... + 7767038.

It is an arithmetic number, because the mean of its divisors is an integer number (409814496).

Almost surely, 2^38333682090 is an apocalyptic number.

38333682090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38333682090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59013287424).

38333682090 is an abundant number, since it is smaller than the sum of its proper divisors (79692892758).

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

38333682090 is a wasteful number, since it uses less digits than its factorization.

38333682090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 38333682090 in words is "thirty-eight billion, three hundred thirty-three million, six hundred eighty-two thousand, ninety".