34011211520 has 144 divisors (see below), whose sum is σ = 95710561632. Its totient is φ = 11416289280.

The previous prime is 34011211471. The next prime is 34011211523. The reversal of 34011211520 is 2511211043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34011211492 and 34011211501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011211523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90134 + ... + 275946.

It is an arithmetic number, because the mean of its divisors is an integer number (664656678).

Almost surely, 2^34011211520 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 34011211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47855280816).

34011211520 is an abundant number, since it is smaller than the sum of its proper divisors (61699350112).

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

34011211520 is a wasteful number, since it uses less digits than its factorization.

34011211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185858 (or 185844 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 34011211520 its reverse (2511211043), we get a palindrome (36522422563).

The spelling of 34011211520 in words is "thirty-four billion, eleven million, two hundred eleven thousand, five hundred twenty".