34021145340 has 480 divisors, whose sum is σ = 132881696640. Its totient is φ = 7094697984.

The previous prime is 34021145339. The next prime is 34021145357. The reversal of 34021145340 is 4354112043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13119084 + ... + 13121676.

It is an arithmetic number, because the mean of its divisors is an integer number (276836868).

Almost surely, 2^34021145340 is an apocalyptic number.

34021145340 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 34021145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66440848320).

34021145340 is an abundant number, since it is smaller than the sum of its proper divisors (98860551300).

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

34021145340 is a wasteful number, since it uses less digits than its factorization.

34021145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34021145340 its reverse (4354112043), we get a palindrome (38375257383).

The spelling of 34021145340 in words is "thirty-four billion, twenty-one million, one hundred forty-five thousand, three hundred forty".