34482634368 has 384 divisors, whose sum is σ = 116676282240. Its totient is φ = 8941363200.

The previous prime is 34482634363. The next prime is 34482634399. The reversal of 34482634368 is 86343628443.

It is a tau number, because it is divible by the number of its divisors (384).

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 34482634368.

It is not an unprimeable number, because it can be changed into a prime (34482634363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14919933 + ... + 14922243.

It is an arithmetic number, because the mean of its divisors is an integer number (303844485).

Almost surely, 2^34482634368 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 34482634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58338141120).

34482634368 is an abundant number, since it is smaller than the sum of its proper divisors (82193647872).

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

34482634368 is a wasteful number, since it uses less digits than its factorization.

34482634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2397 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 51.

The spelling of 34482634368 in words is "thirty-four billion, four hundred eighty-two million, six hundred thirty-four thousand, three hundred sixty-eight".