34381338288 has 160 divisors (see below), whose sum is σ = 104529595392. Its totient is φ = 9620582400.

The previous prime is 34381338269. The next prime is 34381338289. The reversal of 34381338288 is 88283318343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34381338288.

It is not an unprimeable number, because it can be changed into a prime (34381338289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439593 + ... + 511863.

Almost surely, 2^34381338288 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 34381338288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52264797696).

34381338288 is an abundant number, since it is smaller than the sum of its proper divisors (70148257104).

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

34381338288 is a wasteful number, since it uses less digits than its factorization.

34381338288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72363 (or 72357 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 34381338288 in words is "thirty-four billion, three hundred eighty-one million, three hundred thirty-eight thousand, two hundred eighty-eight".