34482997248 has 288 divisors, whose sum is σ = 110936105280. Its totient is φ = 9329541120.

The previous prime is 34482997187. The next prime is 34482997253. The reversal of 34482997248 is 84279928443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34482997191 and 34482997200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15524778 + ... + 15526998.

It is an arithmetic number, because the mean of its divisors is an integer number (385194810).

Almost surely, 2^34482997248 is an apocalyptic number.

34482997248 is a gapful number since it is divisible by the number (38) 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 34482997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55468052640).

34482997248 is an abundant number, since it is smaller than the sum of its proper divisors (76453108032).

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

34482997248 is a wasteful number, since it uses less digits than its factorization.

34482997248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2252 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 34482997248 in words is "thirty-four billion, four hundred eighty-two million, nine hundred ninety-seven thousand, two hundred forty-eight".