3352449600 has 336 divisors, whose sum is σ = 12404384640. Its totient is φ = 880588800.

The previous prime is 3352449553. The next prime is 3352449613. The reversal of 3352449600 is 69442533.

3352449600 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 4 + 49 + 600 = 666.

It is a super-2 number, since 2×3352449600² = 22477836641080320000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 3066654 + ... + 3067746.

Almost surely, 2^3352449600 is an apocalyptic number.

3352449600 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 3352449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202192320).

3352449600 is an abundant number, since it is smaller than the sum of its proper divisors (9051935040).

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

3352449600 is a wasteful number, since it uses less digits than its factorization.

3352449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3352449600 is about 57900.3419679021. The cubic root of 3352449600 is about 1496.6517316270.

The spelling of 3352449600 in words is "three billion, three hundred fifty-two million, four hundred forty-nine thousand, six hundred".