3254718240 has 288 divisors, whose sum is σ = 12028383360. Its totient is φ = 821850624.

The previous prime is 3254718239. The next prime is 3254718251. The reversal of 3254718240 is 428174523.

It is a happy number.

3254718240 is a `hidden beast` number, since 32 + 547 + 1 + 82 + 4 + 0 = 666.

3254718240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3254718195 and 3254718204.

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, 1558477 + ... + 1560563.

It is an arithmetic number, because the mean of its divisors is an integer number (41765220).

Almost surely, 2^3254718240 is an apocalyptic number.

3254718240 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 3254718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014191680).

3254718240 is an abundant number, since it is smaller than the sum of its proper divisors (8773665120).

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

3254718240 is a wasteful number, since it uses less digits than its factorization.

3254718240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3254718240 is about 57050.1379490006. The cubic root of 3254718240 is about 1481.9644961909.

The spelling of 3254718240 in words is "three billion, two hundred fifty-four million, seven hundred eighteen thousand, two hundred forty".