34224032010 has 128 divisors (see below), whose sum is σ = 94849574400. Its totient is φ = 7741541376.

The previous prime is 34224031997. The next prime is 34224032027. The reversal of 34224032010 is 1023042243.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 9166104 + ... + 9169836.

It is an arithmetic number, because the mean of its divisors is an integer number (741012300).

Almost surely, 2^34224032010 is an apocalyptic number.

34224032010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34224032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47424787200).

34224032010 is an abundant number, since it is smaller than the sum of its proper divisors (60625542390).

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

34224032010 is a wasteful number, since it uses less digits than its factorization.

34224032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34224032010 its reverse (1023042243), we get a palindrome (35247074253).

The spelling of 34224032010 in words is "thirty-four billion, two hundred twenty-four million, thirty-two thousand, ten".