3397966200 has 288 divisors, whose sum is σ = 11942985600. Its totient is φ = 897816960.

The previous prime is 3397966199. The next prime is 3397966211. The reversal of 3397966200 is 26697933.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6755149 + ... + 6755651.

It is an arithmetic number, because the mean of its divisors is an integer number (41468700).

Almost surely, 2^3397966200 is an apocalyptic number.

3397966200 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 3397966200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971492800).

3397966200 is an abundant number, since it is smaller than the sum of its proper divisors (8545019400).

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

3397966200 is a wasteful number, since it uses less digits than its factorization.

3397966200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3397966200 is about 58292.0766485463. The cubic root of 3397966200 is about 1503.3947114936.

The spelling of 3397966200 in words is "three billion, three hundred ninety-seven million, nine hundred sixty-six thousand, two hundred".