3251028480 has 480 divisors, whose sum is σ = 12393653184. Its totient is φ = 724598784.

The previous prime is 3251028463. The next prime is 3251028491. The reversal of 3251028480 is 848201523.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3251028480² = 21138372355542220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19944879 + ... + 19945041.

Almost surely, 2^3251028480 is an apocalyptic number.

3251028480 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 3251028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196826592).

3251028480 is an abundant number, since it is smaller than the sum of its proper divisors (9142624704).

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

3251028480 is a wasteful number, since it uses less digits than its factorization.

3251028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 3251028480 is about 57017.7909077509. The cubic root of 3251028480 is about 1481.4042673634.

The spelling of 3251028480 in words is "three billion, two hundred fifty-one million, twenty-eight thousand, four hundred eighty".