34541435440 has 80 divisors (see below), whose sum is σ = 82659530880. Its totient is φ = 13417896960.

The previous prime is 34541435413. The next prime is 34541435483. The reversal of 34541435440 is 4453414543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34541435440² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34541435440.

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, 340722 + ... + 430318.

It is an arithmetic number, because the mean of its divisors is an integer number (1033244136).

Almost surely, 2^34541435440 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 34541435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41329765440).

34541435440 is an abundant number, since it is smaller than the sum of its proper divisors (48118095440).

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

34541435440 is a wasteful number, since it uses less digits than its factorization.

34541435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89750 (or 89744 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 34541435440 its reverse (4453414543), we get a palindrome (38994849983).

The spelling of 34541435440 in words is "thirty-four billion, five hundred forty-one million, four hundred thirty-five thousand, four hundred forty".