34343447040 has 320 divisors, whose sum is σ = 139420005120. Its totient is φ = 7849820160.

The previous prime is 34343447023. The next prime is 34343447041. The reversal of 34343447040 is 4074434343.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 34343446986 and 34343447004.

It is not an unprimeable number, because it can be changed into a prime (34343447041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448350 + ... + 519330.

It is an arithmetic number, because the mean of its divisors is an integer number (435687516).

Almost surely, 2^34343447040 is an apocalyptic number.

34343447040 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 34343447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69710002560).

34343447040 is an abundant number, since it is smaller than the sum of its proper divisors (105076558080).

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

34343447040 is an equidigital number, since it uses as much as digits as its factorization.

34343447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71020 (or 70998 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 34343447040 in words is "thirty-four billion, three hundred forty-three million, four hundred forty-seven thousand, forty".