34044401440 has 96 divisors (see below), whose sum is σ = 91985289984. Its totient is φ = 11664061440.

The previous prime is 34044401387. The next prime is 34044401477. The reversal of 34044401440 is 4410444043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34044401399 and 34044401408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682262 + ... + 1702378.

It is an arithmetic number, because the mean of its divisors is an integer number (958180104).

Almost surely, 2^34044401440 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 34044401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45992644992).

34044401440 is an abundant number, since it is smaller than the sum of its proper divisors (57940888544).

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

34044401440 is a wasteful number, since it uses less digits than its factorization.

34044401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21650 (or 21642 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34044401440 its reverse (4410444043), we get a palindrome (38454845483).

The spelling of 34044401440 in words is "thirty-four billion, forty-four million, four hundred one thousand, four hundred forty".