3923336340 has 576 divisors, whose sum is σ = 15775119360. Its totient is φ = 765434880.

The previous prime is 3923336323. The next prime is 3923336341. The reversal of 3923336340 is 436333293.

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

It is a junction number, because it is equal to n+sod(n) for n = 3923336295 and 3923336304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923336341) 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 191 ways as a sum of consecutive naturals, for example, 17283307 + ... + 17283533.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 2^3923336340 is an apocalyptic number.

3923336340 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 3923336340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887559680).

3923336340 is an abundant number, since it is smaller than the sum of its proper divisors (11851783020).

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

3923336340 is a wasteful number, since it uses less digits than its factorization.

3923336340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 3923336340 is about 62636.5415711947. The cubic root of 3923336340 is about 1577.1942326606.

The spelling of 3923336340 in words is "three billion, nine hundred twenty-three million, three hundred thirty-six thousand, three hundred forty".