39382020849930 has 256 divisors, whose sum is σ = 111545443491840. Its totient is φ = 8794228838400.

The previous prime is 39382020849907. The next prime is 39382020849947. The reversal of 39382020849930 is 3994802028393.

It is a super-3 number, since 3×39382020849930³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344912050 + ... + 345026210.

It is an arithmetic number, because the mean of its divisors is an integer number (435724388640).

Almost surely, 2^{39382020849930} is an apocalyptic number.

39382020849930 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 39382020849930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55772721745920).

39382020849930 is an abundant number, since it is smaller than the sum of its proper divisors (72163422641910).

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

39382020849930 is a wasteful number, since it uses less digits than its factorization.

39382020849930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115725.

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 39382020849930 in words is "thirty-nine trillion, three hundred eighty-two billion, twenty million, eight hundred forty-nine thousand, nine hundred thirty".