3434250240 has 384 divisors, whose sum is σ = 12697537320. Its totient is φ = 855638016.

The previous prime is 3434250227. The next prime is 3434250263. The reversal of 3434250240 is 420524343.

3434250240 is a `hidden beast` number, since 34 + 342 + 50 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3186376704 + 247873536 = 56448^2 + 15744^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25067452 + ... + 25067588.

Almost surely, 2^3434250240 is an apocalyptic number.

3434250240 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 3434250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348768660).

3434250240 is an abundant number, since it is smaller than the sum of its proper divisors (9263287080).

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

3434250240 is a wasteful number, since it uses less digits than its factorization.

3434250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3434250240 is about 58602.4763981865. The cubic root of 3434250240 is about 1508.7269418587.

Adding to 3434250240 its reverse (420524343), we get a palindrome (3854774583).

The spelling of 3434250240 in words is "three billion, four hundred thirty-four million, two hundred fifty thousand, two hundred forty".