3415425680 has 80 divisors (see below), whose sum is σ = 8026830000. Its totient is φ = 1351464960.

The previous prime is 3415425667. The next prime is 3415425691. The reversal of 3415425680 is 865245143.

It can be written as a sum of positive squares in 8 ways, for example, as 270010624 + 3145415056 = 16432^2 + 56084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4159670 + ... + 4160490.

It is an arithmetic number, because the mean of its divisors is an integer number (100335375).

Almost surely, 2^3415425680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013415000).

3415425680 is an abundant number, since it is smaller than the sum of its proper divisors (4611404320).

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

3415425680 is a wasteful number, since it uses less digits than its factorization.

3415425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 3415425680 is about 58441.6433718286. The cubic root of 3415425680 is about 1505.9652354930.

The spelling of 3415425680 in words is "three billion, four hundred fifteen million, four hundred twenty-five thousand, six hundred eighty".