34612282368 has 264 divisors, whose sum is σ = 109113615520. Its totient is φ = 10928701440.

The previous prime is 34612282339. The next prime is 34612282381. The reversal of 34612282368 is 86328221643.

34612282368 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 2 + 282 + 368 = 666.

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

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, 4724148 + ... + 4731468.

Almost surely, 2^34612282368 is an apocalyptic number.

34612282368 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 34612282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54556807760).

34612282368 is an abundant number, since it is smaller than the sum of its proper divisors (74501333152).

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

34612282368 is an equidigital number, since it uses as much as digits as its factorization.

34612282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7345 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 34612282368 in words is "thirty-four billion, six hundred twelve million, two hundred eighty-two thousand, three hundred sixty-eight".