34011221344410 has 128 divisors (see below), whose sum is σ = 84917743013376. Its totient is φ = 8711884431360.

The previous prime is 34011221344393. The next prime is 34011221344423. The reversal of 34011221344410 is 1444312211043.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21141474 + ... + 22693266.

It is an arithmetic number, because the mean of its divisors is an integer number (663419867292).

Almost surely, 2^{34011221344410} is an apocalyptic number.

34011221344410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011221344410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42458871506688).

34011221344410 is an abundant number, since it is smaller than the sum of its proper divisors (50906521668966).

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

34011221344410 is a wasteful number, since it uses less digits than its factorization.

34011221344410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552120.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 34011221344410 its reverse (1444312211043), we get a palindrome (35455533555453).

The spelling of 34011221344410 in words is "thirty-four trillion, eleven billion, two hundred twenty-one million, three hundred forty-four thousand, four hundred ten".