3225416580 has 36 divisors (see below), whose sum is σ = 9783764172. Its totient is φ = 860111040.

The previous prime is 3225416527. The next prime is 3225416609. The reversal of 3225416580 is 856145223.

3225416580 is a `hidden beast` number, since 3 + 22 + 54 + 1 + 6 + 580 = 666.

3225416580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1373147136 + 1852269444 = 37056^2 + 43038^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3225416580² = 20806624229077792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8959311 + ... + 8959670.

It is an arithmetic number, because the mean of its divisors is an integer number (271771227).

Almost surely, 2^3225416580 is an apocalyptic number.

3225416580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3225416580 is an abundant number, since it is smaller than the sum of its proper divisors (6558347592).

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

3225416580 is a wasteful number, since it uses less digits than its factorization.

3225416580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17918996 (or 17918991 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3225416580 is about 56792.7511219522. The cubic root of 3225416580 is about 1477.5037937838.

The spelling of 3225416580 in words is "three billion, two hundred twenty-five million, four hundred sixteen thousand, five hundred eighty".