34022133420 has 96 divisors (see below), whose sum is σ = 104368642560. Its totient is φ = 8212354560.

The previous prime is 34022133401. The next prime is 34022133437. The reversal of 34022133420 is 2433122043.

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, 43161 + ... + 264399.

It is an arithmetic number, because the mean of its divisors is an integer number (1087173360).

Almost surely, 2^34022133420 is an apocalyptic number.

34022133420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52184321280).

34022133420 is an abundant number, since it is smaller than the sum of its proper divisors (70346509140).

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

34022133420 is a wasteful number, since it uses less digits than its factorization.

34022133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221495 (or 221493 counting only the distinct ones).

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

Adding to 34022133420 its reverse (2433122043), we get a palindrome (36455255463).

The spelling of 34022133420 in words is "thirty-four billion, twenty-two million, one hundred thirty-three thousand, four hundred twenty".