3894205952 has 320 divisors, whose sum is σ = 10394334720. Its totient is φ = 1414692864.

The previous prime is 3894205919. The next prime is 3894205979. The reversal of 3894205952 is 2595024983.

It is a junction number, because it is equal to n+sod(n) for n = 3894205897 and 3894205906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46918103 + ... + 46918185.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 2^3894205952 is an apocalyptic number.

3894205952 is a gapful number since it is divisible by the number (32) 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 3894205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360).

3894205952 is an abundant number, since it is smaller than the sum of its proper divisors (6500128768).

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

3894205952 is a wasteful number, since it uses less digits than its factorization.

3894205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 3894205952 is about 62403.5732310258. The cubic root of 3894205952 is about 1573.2810273396.

The spelling of 3894205952 in words is "three billion, eight hundred ninety-four million, two hundred five thousand, nine hundred fifty-two".