3378378400 has 36 divisors (see below), whose sum is σ = 8247468222. Its totient is φ = 1351351040.

The previous prime is 3378378389. The next prime is 3378378401. The reversal of 3378378400 is 48738733.

It can be written as a sum of positive squares in 3 ways, for example, as 3069603216 + 308775184 = 55404^2 + 17572^2 .

It is a super-2 number, since 2×3378378400² = 22826881227173120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3378378401) 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 5 ways as a sum of consecutive naturals, for example, 2110687 + ... + 2112286.

Almost surely, 2^3378378400 is an apocalyptic number.

It is an amenable number.

3378378400 is an abundant number, since it is smaller than the sum of its proper divisors (4869089822).

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

3378378400 is a wasteful number, since it uses less digits than its factorization.

3378378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222993 (or 4222980 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 3378378400 is about 58123.8195579059. The cubic root of 3378378400 is about 1500.5003367939.

The spelling of 3378378400 in words is "three billion, three hundred seventy-eight million, three hundred seventy-eight thousand, four hundred".