34004441240 has 128 divisors (see below), whose sum is σ = 96178475520. Its totient is φ = 10598670720.

The previous prime is 34004441213. The next prime is 34004441279. The reversal of 34004441240 is 4214440043.

It is a happy number.

It is a super-2 number, since 2×34004441240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327059 + ... + 418301.

It is an arithmetic number, because the mean of its divisors is an integer number (751394340).

Almost surely, 2^34004441240 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 34004441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48089237760).

34004441240 is an abundant number, since it is smaller than the sum of its proper divisors (62174034280).

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

34004441240 is a wasteful number, since it uses less digits than its factorization.

34004441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91294 (or 91268 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 34004441240 its reverse (4214440043), we get a palindrome (38218881283).

The spelling of 34004441240 in words is "thirty-four billion, four million, four hundred forty-one thousand, two hundred forty".