34034214340 has 96 divisors (see below), whose sum is σ = 84788573184. Its totient is φ = 11233244160.

The previous prime is 34034214323. The next prime is 34034214359. The reversal of 34034214340 is 4341243043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34034214299 and 34034214308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358984 + ... + 443776.

It is an arithmetic number, because the mean of its divisors is an integer number (883214304).

Almost surely, 2^34034214340 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 34034214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42394286592).

34034214340 is an abundant number, since it is smaller than the sum of its proper divisors (50754358844).

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

34034214340 is a wasteful number, since it uses less digits than its factorization.

34034214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84917 (or 84915 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34034214340 its reverse (4341243043), we get a palindrome (38375457383).

The spelling of 34034214340 in words is "thirty-four billion, thirty-four million, two hundred fourteen thousand, three hundred forty".