3946233600 has 432 divisors, whose sum is σ = 14849987040. Its totient is φ = 1024819200.

The previous prime is 3946233583. The next prime is 3946233601. The reversal of 3946233600 is 63326493.

3946233600 is a `hidden beast` number, since 3 + 9 + 46 + 2 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946233601) 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 47 ways as a sum of consecutive naturals, for example, 7084522 + ... + 7085078.

It is an arithmetic number, because the mean of its divisors is an integer number (34374970).

Almost surely, 2^3946233600 is an apocalyptic number.

3946233600 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 3946233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424993520).

3946233600 is an abundant number, since it is smaller than the sum of its proper divisors (10903753440).

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

3946233600 is a wasteful number, since it uses less digits than its factorization.

3946233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3946233600 is about 62819.0544341444. The cubic root of 3946233600 is about 1580.2565411563.

The spelling of 3946233600 in words is "three billion, nine hundred forty-six million, two hundred thirty-three thousand, six hundred".