3254430960 has 640 divisors, whose sum is σ = 13177728000. Its totient is φ = 739031040.

The previous prime is 3254430943. The next prime is 3254430967. The reversal of 3254430960 is 690344523.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3254430967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36566596 + ... + 36566684.

It is an arithmetic number, because the mean of its divisors is an integer number (20590200).

Almost surely, 2^3254430960 is an apocalyptic number.

3254430960 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 3254430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588864000).

3254430960 is an abundant number, since it is smaller than the sum of its proper divisors (9923297040).

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

3254430960 is a wasteful number, since it uses less digits than its factorization.

3254430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3254430960 is about 57047.6201081167. The cubic root of 3254430960 is about 1481.9208926943.

It can be divided in two parts, 32544 and 30960, that added together give a square (63504 = 252²).

The spelling of 3254430960 in words is "three billion, two hundred fifty-four million, four hundred thirty thousand, nine hundred sixty".