3434350026240 has 640 divisors, whose sum is σ = 14114108067840. Its totient is φ = 784985333760.

The previous prime is 3434350026131. The next prime is 3434350026251. The reversal of 3434350026240 is 426200534343.

3434350026240 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 350 + 0 + 262 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 3434350026195 and 3434350026204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39147225 + ... + 39234855.

It is an arithmetic number, because the mean of its divisors is an integer number (22053293856).

Almost surely, 2^{3434350026240} is an apocalyptic number.

3434350026240 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 3434350026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057054033920).

3434350026240 is an abundant number, since it is smaller than the sum of its proper divisors (10679758041600).

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

3434350026240 is an frugal number, since it uses more digits than its factorization.

3434350026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87682 (or 87648 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 3434350026240 in words is "three trillion, four hundred thirty-four billion, three hundred fifty million, twenty-six thousand, two hundred forty".