34235011440 has 240 divisors, whose sum is σ = 133359702528. Its totient is φ = 7708276224.

The previous prime is 34235011403. The next prime is 34235011463. The reversal of 34235011440 is 4411053243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×34235011440⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286989 + ... + 388371.

Almost surely, 2^34235011440 is an apocalyptic number.

34235011440 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 34235011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679851264).

34235011440 is an abundant number, since it is smaller than the sum of its proper divisors (99124691088).

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

34235011440 is a wasteful number, since it uses less digits than its factorization.

34235011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101476 (or 101467 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34235011440 its reverse (4411053243), we get a palindrome (38646064683).

The spelling of 34235011440 in words is "thirty-four billion, two hundred thirty-five million, eleven thousand, four hundred forty".