3259791360 has 576 divisors, whose sum is σ = 13410109440. Its totient is φ = 716636160.

The previous prime is 3259791347. The next prime is 3259791377. The reversal of 3259791360 is 631979523.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 19998639 + ... + 19998801.

It is an arithmetic number, because the mean of its divisors is an integer number (23281440).

Almost surely, 2^3259791360 is an apocalyptic number.

3259791360 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 3259791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705054720).

3259791360 is an abundant number, since it is smaller than the sum of its proper divisors (10150318080).

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

3259791360 is a wasteful number, since it uses less digits than its factorization.

3259791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3259791360 is about 57094.5825801363. The cubic root of 3259791360 is about 1482.7340744215.

The spelling of 3259791360 in words is "three billion, two hundred fifty-nine million, seven hundred ninety-one thousand, three hundred sixty".