34205569440 has 384 divisors, whose sum is σ = 132534517248. Its totient is φ = 7237140480.

The previous prime is 34205569403. The next prime is 34205569481. The reversal of 34205569440 is 4496550243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34205569392 and 34205569401.

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, 3479412 + ... + 3489228.

It is an arithmetic number, because the mean of its divisors is an integer number (345141972).

Almost surely, 2^34205569440 is an apocalyptic number.

34205569440 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 34205569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66267258624).

34205569440 is an abundant number, since it is smaller than the sum of its proper divisors (98328947808).

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

34205569440 is a wasteful number, since it uses less digits than its factorization.

34205569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 34205569440 in words is "thirty-four billion, two hundred five million, five hundred sixty-nine thousand, four hundred forty".