3254955360 has 384 divisors, whose sum is σ = 11554099200. Its totient is φ = 766402560.

The previous prime is 3254955359. The next prime is 3254955373. The reversal of 3254955360 is 635594523.

3254955360 = T₈₃ + T₈₄ + ... + T₂₆₉₂.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8198682 + ... + 8199078.

It is an arithmetic number, because the mean of its divisors is an integer number (30088800).

Almost surely, 2^3254955360 is an apocalyptic number.

3254955360 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 3254955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777049600).

3254955360 is an abundant number, since it is smaller than the sum of its proper divisors (8299143840).

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

3254955360 is a wasteful number, since it uses less digits than its factorization.

3254955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The square root of 3254955360 is about 57052.2160831637. The cubic root of 3254955360 is about 1482.0004844457. Note that the first 3 decimals are identical.

The spelling of 3254955360 in words is "three billion, two hundred fifty-four million, nine hundred fifty-five thousand, three hundred sixty".