34342304640 has 768 divisors, whose sum is σ = 135628992000. Its totient is φ = 7353679872.

The previous prime is 34342304609. The next prime is 34342304641. The reversal of 34342304640 is 4640324343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342304641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127666426 + ... + 127666694.

It is an arithmetic number, because the mean of its divisors is an integer number (176600250).

Almost surely, 2^34342304640 is an apocalyptic number.

34342304640 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 34342304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67814496000).

34342304640 is an abundant number, since it is smaller than the sum of its proper divisors (101286687360).

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

34342304640 is a wasteful number, since it uses less digits than its factorization.

34342304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 34342304640 its reverse (4640324343), we get a palindrome (38982628983).

The spelling of 34342304640 in words is "thirty-four billion, three hundred forty-two million, three hundred four thousand, six hundred forty".