34478429440 has 576 divisors, whose sum is σ = 107550374400. Its totient is φ = 10297147392.

The previous prime is 34478429417. The next prime is 34478429443. The reversal of 34478429440 is 4492487443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34478429443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199297194 + ... + 199297366.

It is an arithmetic number, because the mean of its divisors is an integer number (186719400).

Almost surely, 2^34478429440 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 34478429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53775187200).

34478429440 is an abundant number, since it is smaller than the sum of its proper divisors (73071944960).

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

34478429440 is a wasteful number, since it uses less digits than its factorization.

34478429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 34478429440 in words is "thirty-four billion, four hundred seventy-eight million, four hundred twenty-nine thousand, four hundred forty".