34300263064320 has 432 divisors, whose sum is σ = 129502259830944. Its totient is φ = 8312758272000.

The previous prime is 34300263064279. The next prime is 34300263064373. The reversal of 34300263064320 is 2346036200343.

34300263064320 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 0 + 2 + 6 + 3 + 0 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448677300 + ... + 448753740.

Almost surely, 2^{34300263064320} is an apocalyptic number.

34300263064320 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 34300263064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64751129915472).

34300263064320 is an abundant number, since it is smaller than the sum of its proper divisors (95201996766624).

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

34300263064320 is a wasteful number, since it uses less digits than its factorization.

34300263064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80020 (or 80003 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 34300263064320 its reverse (2346036200343), we get a palindrome (36646299264663).

The spelling of 34300263064320 in words is "thirty-four trillion, three hundred billion, two hundred sixty-three million, sixty-four thousand, three hundred twenty".