3378749200 has 30 divisors (see below), whose sum is σ = 8117445914. Its totient is φ = 1351499520.

The previous prime is 3378749149. The next prime is 3378749219. The reversal of 3378749200 is 29478733.

It can be written as a sum of positive squares in 3 ways, for example, as 780196624 + 2598552576 = 27932^2 + 50976^2 .

It is a super-2 number, since 2×3378749200² = 22831892313001280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4223037 + ... + 4223836.

Almost surely, 2^3378749200 is an apocalyptic number.

It is an amenable number.

3378749200 is an abundant number, since it is smaller than the sum of its proper divisors (4738696714).

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

3378749200 is a wasteful number, since it uses less digits than its factorization.

3378749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8446891 (or 8446880 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 3378749200 is about 58127.0092125855. The cubic root of 3378749200 is about 1500.5552314903. Note that the first 3 decimals are identical.

The spelling of 3378749200 in words is "three billion, three hundred seventy-eight million, seven hundred forty-nine thousand, two hundred".