34217210440 has 64 divisors (see below), whose sum is σ = 90033356160. Its totient is φ = 11458782720.

The previous prime is 34217210437. The next prime is 34217210441. The reversal of 34217210440 is 4401271243.

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 = 34217210399 and 34217210408.

It is not an unprimeable number, because it can be changed into a prime (34217210441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408941 + ... + 1433020.

It is an arithmetic number, because the mean of its divisors is an integer number (1406771190).

Almost surely, 2^34217210440 is an apocalyptic number.

It is an amenable number.

34217210440 is an abundant number, since it is smaller than the sum of its proper divisors (55816145720).

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

34217210440 is a wasteful number, since it uses less digits than its factorization.

34217210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842022 (or 2842018 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 34217210440 its reverse (4401271243), we get a palindrome (38618481683).

The spelling of 34217210440 in words is "thirty-four billion, two hundred seventeen million, two hundred ten thousand, four hundred forty".