34011211440 has 160 divisors (see below), whose sum is σ = 111693208320. Its totient is φ = 8537398272.

The previous prime is 34011211439. The next prime is 34011211441. The reversal of 34011211440 is 4411211043.

It is an interprime number because it is at equal distance from previous prime (34011211439) and next prime (34011211441).

It is not an unprimeable number, because it can be changed into a prime (34011211441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692167 + ... + 739673.

It is an arithmetic number, because the mean of its divisors is an integer number (698082552).

Almost surely, 2^34011211440 is an apocalyptic number.

34011211440 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 34011211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55846604160).

34011211440 is an abundant number, since it is smaller than the sum of its proper divisors (77681996880).

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

34011211440 is a wasteful number, since it uses less digits than its factorization.

34011211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47699 (or 47693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 34011211440 its reverse (4411211043), we get a palindrome (38422422483).

The spelling of 34011211440 in words is "thirty-four billion, eleven million, two hundred eleven thousand, four hundred forty".