34021204224 has 144 divisors (see below), whose sum is σ = 108927866880. Its totient is φ = 9208719360.

The previous prime is 34021204211. The next prime is 34021204237. The reversal of 34021204224 is 42240212043.

It is an interprime number because it is at equal distance from previous prime (34021204211) and next prime (34021204237).

It is a super-2 number, since 2×34021204224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34021204194 and 34021204203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64392 + ... + 268679.

It is an arithmetic number, because the mean of its divisors is an integer number (756443520).

Almost surely, 2^34021204224 is an apocalyptic number.

It is an amenable number.

34021204224 is an abundant number, since it is smaller than the sum of its proper divisors (74906662656).

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

34021204224 is a wasteful number, since it uses less digits than its factorization.

34021204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333116 (or 333102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34021204224 its reverse (42240212043), we get a palindrome (76261416267).

The spelling of 34021204224 in words is "thirty-four billion, twenty-one million, two hundred four thousand, two hundred twenty-four".