3361603200 has 192 divisors, whose sum is σ = 11185132320. Its totient is φ = 887296000.

The previous prime is 3361603199. The next prime is 3361603361. The reversal of 3361603200 is 23061633.

3361603200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3361603200² = 22600752148500480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967867 + ... + 971333.

Almost surely, 2^3361603200 is an apocalyptic number.

3361603200 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 3361603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592566160).

3361603200 is an abundant number, since it is smaller than the sum of its proper divisors (7823529120).

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

3361603200 is a wasteful number, since it uses less digits than its factorization.

3361603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3361603200 is about 57979.3342493685. The cubic root of 3361603200 is about 1498.0126570303.

Adding to 3361603200 its reverse (23061633), we get a palindrome (3384664833).

The spelling of 3361603200 in words is "three billion, three hundred sixty-one million, six hundred three thousand, two hundred".