3259755840 has 224 divisors, whose sum is σ = 11567525760. Its totient is φ = 770867200.

The previous prime is 3259755839. The next prime is 3259755869. The reversal of 3259755840 is 485579523.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3259755840.

It is a congruent number.

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, 429196 + ... + 436724.

It is an arithmetic number, because the mean of its divisors is an integer number (51640740).

Almost surely, 2^3259755840 is an apocalyptic number.

3259755840 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 3259755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783762880).

3259755840 is an abundant number, since it is smaller than the sum of its proper divisors (8307769920).

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

3259755840 is a wasteful number, since it uses less digits than its factorization.

3259755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 3259755840 is about 57094.2715165015. The cubic root of 3259755840 is about 1482.7286889127.

The spelling of 3259755840 in words is "three billion, two hundred fifty-nine million, seven hundred fifty-five thousand, eight hundred forty".