3256465680 has 800 divisors, whose sum is σ = 13309148160. Its totient is φ = 731566080.

The previous prime is 3256465657. The next prime is 3256465691. The reversal of 3256465680 is 865646523.

3256465680 is a `hidden beast` number, since 3 + 2 + 564 + 6 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75731739 + ... + 75731781.

Almost surely, 2^3256465680 is an apocalyptic number.

3256465680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3256465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654574080).

3256465680 is an abundant number, since it is smaller than the sum of its proper divisors (10052682480).

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

3256465680 is a wasteful number, since it uses less digits than its factorization.

3256465680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3256465680 is about 57065.4508437461. The cubic root of 3256465680 is about 1482.2296682203.

The spelling of 3256465680 in words is "three billion, two hundred fifty-six million, four hundred sixty-five thousand, six hundred eighty".