39846000252 has 72 divisors (see below), whose sum is σ = 99228402000. Its totient is φ = 12441445632.

The previous prime is 39846000251. The next prime is 39846000277. The reversal of 39846000252 is 25200064893.

It is a happy number.

It is a super-4 number, since 4×39846000252⁴ (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39846000252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39846000251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 333874 + ... + 437222.

It is an arithmetic number, because the mean of its divisors is an integer number (1378172250).

Almost surely, 2^39846000252 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 39846000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49614201000).

39846000252 is an abundant number, since it is smaller than the sum of its proper divisors (59382401748).

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

39846000252 is a wasteful number, since it uses less digits than its factorization.

39846000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103483 (or 103462 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 39846000252 in words is "thirty-nine billion, eight hundred forty-six million, two hundred fifty-two", and thus it is an aban number.