3378459825 has 288 divisors, whose sum is σ = 7409525760. Its totient is φ = 1455667200.

The previous prime is 3378459817. The next prime is 3378459871. The reversal of 3378459825 is 5289548733.

It is not a de Polignac number, because 3378459825 - 2³ = 3378459817 is a prime.

It is a super-2 number, since 2×3378459825² = 22827981578278061250, which contains 22 as substring.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 63744499 + ... + 63744551.

It is an arithmetic number, because the mean of its divisors is an integer number (25727520).

Almost surely, 2^3378459825 is an apocalyptic number.

It is an amenable number.

3378459825 is an abundant number, since it is smaller than the sum of its proper divisors (4031065935).

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

3378459825 is a wasteful number, since it uses less digits than its factorization.

3378459825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 3378459825 is about 58124.5199980180. The cubic root of 3378459825 is about 1500.5123916166.

It can be divided in two parts, 3378 and 459825, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 3378459825 in words is "three billion, three hundred seventy-eight million, four hundred fifty-nine thousand, eight hundred twenty-five".