34914002240 has 224 divisors, whose sum is σ = 91215240480. Its totient is φ = 12651724800.

The previous prime is 34914002209. The next prime is 34914002257. The reversal of 34914002240 is 4220041943.

It can be written as a sum of positive squares in 16 ways, for example, as 31949417536 + 2964584704 = 178744^2 + 54448^2 .

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, 67013180 + ... + 67013700.

It is an arithmetic number, because the mean of its divisors is an integer number (407210895).

Almost surely, 2^34914002240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34914002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45607620240).

34914002240 is an abundant number, since it is smaller than the sum of its proper divisors (56301238240).

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

34914002240 is a wasteful number, since it uses less digits than its factorization.

34914002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 34914002240 in words is "thirty-four billion, nine hundred fourteen million, two thousand, two hundred forty".