3368403200 has 108 divisors (see below), whose sum is σ = 8371461588. Its totient is φ = 1341849600.

The previous prime is 3368403187. The next prime is 3368403251. The reversal of 3368403200 is 23048633.

It can be written as a sum of positive squares in 6 ways, for example, as 424689664 + 2943713536 = 20608^2 + 54256^2 .

It is a super-2 number, since 2×3368403200² = 22692280235540480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1797464 + ... + 1799336.

Almost surely, 2^3368403200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185730794).

3368403200 is an abundant number, since it is smaller than the sum of its proper divisors (5003058388).

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

3368403200 is a wasteful number, since it uses less digits than its factorization.

3368403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3368403200 is about 58037.9462076321. The cubic root of 3368403200 is about 1499.0220588556.

The spelling of 3368403200 in words is "three billion, three hundred sixty-eight million, four hundred three thousand, two hundred".