34364248464 has 640 divisors, whose sum is σ = 122267729920. Its totient is φ = 8084551680.

The previous prime is 34364248463. The next prime is 34364248469. The reversal of 34364248464 is 46484246343.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (34364248463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 928763454 + ... + 928763490.

It is an arithmetic number, because the mean of its divisors is an integer number (191043328).

Almost surely, 2^34364248464 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 34364248464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61133864960).

34364248464 is an abundant number, since it is smaller than the sum of its proper divisors (87903481456).

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

34364248464 is a wasteful number, since it uses less digits than its factorization.

34364248464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 34364248464 in words is "thirty-four billion, three hundred sixty-four million, two hundred forty-eight thousand, four hundred sixty-four".