3378125200 has 60 divisors (see below), whose sum is σ = 8121929940. Its totient is φ = 1350254080.

The previous prime is 3378125173. The next prime is 3378125203. The reversal of 3378125200 is 25218733.

It can be written as a sum of positive squares in 6 ways, for example, as 29419776 + 3348705424 = 5424^2 + 57868^2 .

It is a super-2 number, since 2×3378125200² = 22823459733750080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3378125203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 796686 + ... + 800914.

It is an arithmetic number, because the mean of its divisors is an integer number (135365499).

Almost surely, 2^3378125200 is an apocalyptic number.

It is an amenable number.

3378125200 is an abundant number, since it is smaller than the sum of its proper divisors (4743804740).

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

3378125200 is a wasteful number, since it uses less digits than its factorization.

3378125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3378125200 is about 58121.6414083429. The cubic root of 3378125200 is about 1500.4628497580.

The spelling of 3378125200 in words is "three billion, three hundred seventy-eight million, one hundred twenty-five thousand, two hundred".