3254435640 has 192 divisors, whose sum is σ = 10915819200. Its totient is φ = 840278016.

The previous prime is 3254435609. The next prime is 3254435659. The reversal of 3254435640 is 465344523.

3254435640 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 4 + 3 + 5 + 640 = 666.

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 = 3254435595 and 3254435604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3502696 + ... + 3503624.

It is an arithmetic number, because the mean of its divisors is an integer number (56853225).

Almost surely, 2^3254435640 is an apocalyptic number.

3254435640 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 3254435640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457909600).

3254435640 is an abundant number, since it is smaller than the sum of its proper divisors (7661383560).

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

3254435640 is a wasteful number, since it uses less digits than its factorization.

3254435640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3254435640 is about 57047.6611264651. The cubic root of 3254435640 is about 1481.9216030475.

The spelling of 3254435640 in words is "three billion, two hundred fifty-four million, four hundred thirty-five thousand, six hundred forty".