34031023224 has 128 divisors (see below), whose sum is σ = 94866266880. Its totient is φ = 10086656000.

The previous prime is 34031023219. The next prime is 34031023303. The reversal of 34031023224 is 42232013043.

It is a super-2 number, since 2×34031023224² (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 = 34031023194 and 34031023203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2205424 + ... + 2220800.

It is an arithmetic number, because the mean of its divisors is an integer number (741142710).

Almost surely, 2^34031023224 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 34031023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47433133440).

34031023224 is an abundant number, since it is smaller than the sum of its proper divisors (60835243656).

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

34031023224 is a wasteful number, since it uses less digits than its factorization.

34031023224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34031023224 its reverse (42232013043), we get a palindrome (76263036267).

The spelling of 34031023224 in words is "thirty-four billion, thirty-one million, twenty-three thousand, two hundred twenty-four".