3255947520 has 288 divisors, whose sum is σ = 12026568960. Its totient is φ = 735313920.

The previous prime is 3255947507. The next prime is 3255947531. The reversal of 3255947520 is 257495523.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391640 + ... + 2393000.

It is an arithmetic number, because the mean of its divisors is an integer number (41758920).

Almost surely, 2^3255947520 is an apocalyptic number.

3255947520 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 3255947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013284480).

3255947520 is an abundant number, since it is smaller than the sum of its proper divisors (8770621440).

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

3255947520 is a wasteful number, since it uses less digits than its factorization.

3255947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 3255947520 is about 57060.9106131334. The cubic root of 3255947520 is about 1482.1510479266.

The spelling of 3255947520 in words is "three billion, two hundred fifty-five million, nine hundred forty-seven thousand, five hundred twenty".