34023255420 has 288 divisors, whose sum is σ = 120332782080. Its totient is φ = 6978055680.

The previous prime is 34023255403. The next prime is 34023255421. The reversal of 34023255420 is 2455232043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023255421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31826646 + ... + 31827714.

It is an arithmetic number, because the mean of its divisors is an integer number (417822160).

Almost surely, 2^34023255420 is an apocalyptic number.

34023255420 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 34023255420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60166391040).

34023255420 is an abundant number, since it is smaller than the sum of its proper divisors (86309526660).

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

34023255420 is a wasteful number, since it uses less digits than its factorization.

34023255420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34023255420 its reverse (2455232043), we get a palindrome (36478487463).

The spelling of 34023255420 in words is "thirty-four billion, twenty-three million, two hundred fifty-five thousand, four hundred twenty".